957268032 has 168 divisors, whose sum is σ = 3056510016. Its totient is φ = 258978816.

The previous prime is 957268031. The next prime is 957268049. The reversal of 957268032 is 230862759.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (957268031) 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, 484198 + ... + 486170.

It is an arithmetic number, because the mean of its divisors is an integer number (18193512).

Almost surely, 2^957268032 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 957268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528255008).

957268032 is an abundant number, since it is smaller than the sum of its proper divisors (2099241984).

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

957268032 is a wasteful number, since it uses less digits than its factorization.

957268032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 957268032 is about 30939.7484152667. The cubic root of 957268032 is about 985.5481611362.

The spelling of 957268032 in words is "nine hundred fifty-seven million, two hundred sixty-eight thousand, thirty-two".