957630960 has 480 divisors, whose sum is σ = 3860752896. Its totient is φ = 209664000.

The previous prime is 957630901. The next prime is 957630979. The reversal of 957630960 is 69036759.

957630960 is a `hidden beast` number, since 9 + 5 + 7 + 630 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 7310095 + ... + 7310225.

Almost surely, 2^957630960 is an apocalyptic number.

957630960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 957630960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930376448).

957630960 is an abundant number, since it is smaller than the sum of its proper divisors (2903121936).

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

957630960 is a wasteful number, since it uses less digits than its factorization.

957630960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 957630960 is about 30945.6129362467. The cubic root of 957630960 is about 985.6726953376.

The spelling of 957630960 in words is "nine hundred fifty-seven million, six hundred thirty thousand, nine hundred sixty".