957235968 has 360 divisors, whose sum is σ = 3178608048. Its totient is φ = 284663808.

The previous prime is 957235927. The next prime is 957236023. The reversal of 957235968 is 869532759.

957235968 is a `hidden beast` number, since 9 + 572 + 3 + 5 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14287071 + ... + 14287137.

Almost surely, 2^957235968 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 957235968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589304024).

957235968 is an abundant number, since it is smaller than the sum of its proper divisors (2221372080).

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

957235968 is a wasteful number, since it uses less digits than its factorization.

957235968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 957235968 is about 30939.2302425254. The cubic root of 957235968 is about 985.5371572626.

The spelling of 957235968 in words is "nine hundred fifty-seven million, two hundred thirty-five thousand, nine hundred sixty-eight".