9720 has 48 divisors (see below), whose sum is σ = 32760. Its totient is φ = 2592.

The previous prime is 9719. The next prime is 9721. The reversal of 9720 is 279.

9720 = T_{39} + T_{40} + ... +
T_{48}.

9720 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (9719) and next prime (9721).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a nialpdrome in base 3 and base 10.

It is a zygodrome in base 3.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 9693 and 9702.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 9720.

It is not an unprimeable number, because it can be changed into a prime (9721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1942 + ... + 1946.

2^{9720} is an apocalyptic number.

9720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380).

9720 is an abundant number, since it is smaller than the sum of its proper divisors (23040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9720 is a wasteful number, since it uses less digits than its factorization.

9720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 9720 is about 98.5900603509. The cubic root of 9720 is about 21.3413598269.

Adding to 9720 its reverse (279), we get a palindrome (9999).

It can be divided in two parts, 9 and 720, that added together give a 6-th power (729 = 3^{6}).

The spelling of 9720 in words is "nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720

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