9960 has 32 divisors (see below), whose sum is σ = 30240. Its totient is φ = 2624.

The previous prime is 9949. The next prime is 9967. The reversal of 9960 is 699.

9960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 9960.

It is not an unprimeable number, because it can be changed into a prime (9967) by changing a digit.

9960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

2⁹⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

9960 is an abundant number, since it is smaller than the sum of its proper divisors (20280).

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

9960 is a wasteful number, since it uses less digits than its factorization.

9960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 9960 is about 99.7997995990. The cubic root of 9960 is about 21.5155827180.

Subtracting from 9960 its reverse (699), we obtain a cube (9261 = 21³).

It can be divided in two parts, 9 and 960, that added together give a palindrome (969).

The spelling of 9960 in words is "nine thousand, nine hundred sixty".