957320832 has 256 divisors, whose sum is σ = 2891185920. Its totient is φ = 278691840.

The previous prime is 957320807. The next prime is 957320851. The reversal of 957320832 is 238023759.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13113948 + ... + 13114020.

It is an arithmetic number, because the mean of its divisors is an integer number (11293695).

Almost surely, 2^957320832 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 957320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445592960).

957320832 is an abundant number, since it is smaller than the sum of its proper divisors (1933865088).

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

957320832 is a wasteful number, since it uses less digits than its factorization.

957320832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 957320832 is about 30940.6016748220. The cubic root of 957320832 is about 985.5662807517.

The spelling of 957320832 in words is "nine hundred fifty-seven million, three hundred twenty thousand, eight hundred thirty-two".