957264 has 120 divisors (see below), whose sum is σ = 3223008. Its totient is φ = 241920.

The previous prime is 957263. The next prime is 957289. The reversal of 957264 is 462759.

957264 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 (33).

Its product of digits (15120) is a multiple of the sum of its prime divisors (60).

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 957264.

It is not an unprimeable number, because it can be changed into a prime (957263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25854 + ... + 25890.

2⁹⁵⁷²⁶⁴ 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 957264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611504).

957264 is an abundant number, since it is smaller than the sum of its proper divisors (2265744).

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

957264 is a wasteful number, since it uses less digits than its factorization.

957264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

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

The square root of 957264 is about 978.3986917407. The cubic root of 957264 is about 98.5546777429.

It can be divided in two parts, 957 and 264, that added together give a palindrome (1221).

The spelling of 957264 in words is "nine hundred fifty-seven thousand, two hundred sixty-four".