96960 has 56 divisors (see below), whose sum is σ = 310896. Its totient is φ = 25600.

The previous prime is 96959. The next prime is 96973. The reversal of 96960 is 6969.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 910 + ... + 1010.

2⁹⁶⁹⁶⁰ 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 96960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155448).

96960 is an abundant number, since it is smaller than the sum of its proper divisors (213936).

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

96960 is a wasteful number, since it uses less digits than its factorization.

96960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 96960 is about 311.3840072965. The cubic root of 96960 is about 45.9406923137.

The spelling of 96960 in words is "ninety-six thousand, nine hundred sixty".