957631680 has 448 divisors, whose sum is σ = 3628339200. Its totient is φ = 237219840.

The previous prime is 957631679. The next prime is 957631681. The reversal of 957631680 is 86136759.

It is a happy number.

957631680 is a `hidden beast` number, since 9 + 5 + 7 + 631 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (957631679) and next prime (957631681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957631681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12121881 + ... + 12121959.

Almost surely, 2^957631680 is an apocalyptic number.

957631680 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 957631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814169600).

957631680 is an abundant number, since it is smaller than the sum of its proper divisors (2670707520).

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

957631680 is a wasteful number, since it uses less digits than its factorization.

957631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 957631680 is about 30945.6245695575. The cubic root of 957631680 is about 985.6729423654.

The spelling of 957631680 in words is "nine hundred fifty-seven million, six hundred thirty-one thousand, six hundred eighty".