975264 has 24 divisors (see below), whose sum is σ = 2560320. Its totient is φ = 325056.

The previous prime is 975263. The next prime is 975277. The reversal of 975264 is 462579.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×975264² = 1902279739392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (975263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4984 + ... + 5175.

It is an arithmetic number, because the mean of its divisors is an integer number (106680).

2⁹⁷⁵²⁶⁴ is an apocalyptic number.

It is an amenable number.

975264 is an abundant number, since it is smaller than the sum of its proper divisors (1585056).

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

975264 is a wasteful number, since it uses less digits than its factorization.

975264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10172 (or 10164 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 975264 is about 987.5545554550. The cubic root of 975264 is about 99.1685731181.

The spelling of 975264 in words is "nine hundred seventy-five thousand, two hundred sixty-four".