957725568 has 96 divisors (see below), whose sum is σ = 2776246200. Its totient is φ = 316892160.

The previous prime is 957725521. The next prime is 957725569. The reversal of 957725568 is 865527759.

957725568 is a `hidden beast` number, since 9 + 5 + 7 + 72 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (5292000) is a multiple of the sum of its prime divisors (6125).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957725569) 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, 157138 + ... + 163118.

Almost surely, 2^957725568 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 957725568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388123100).

957725568 is an abundant number, since it is smaller than the sum of its proper divisors (1818520632).

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

957725568 is a wasteful number, since it uses less digits than its factorization.

957725568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6140 (or 6125 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The square root of 957725568 is about 30947.1415158169. The cubic root of 957725568 is about 985.7051537186.

The spelling of 957725568 in words is "nine hundred fifty-seven million, seven hundred twenty-five thousand, five hundred sixty-eight".