957384960 has 144 divisors (see below), whose sum is σ = 3494553216. Its totient is φ = 218824704.

The previous prime is 957384949. The next prime is 957384979. The reversal of 957384960 is 69483759.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9072 + ... + 44688.

Almost surely, 2^957384960 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 957384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747276608).

957384960 is an abundant number, since it is smaller than the sum of its proper divisors (2537168256).

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

957384960 is a wasteful number, since it uses less digits than its factorization.

957384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35648 (or 35634 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 957384960 is about 30941.6379656928. The cubic root of 957384960 is about 985.5882869525.

The spelling of 957384960 in words is "nine hundred fifty-seven million, three hundred eighty-four thousand, nine hundred sixty".