957012840 has 256 divisors, whose sum is σ = 3666931200. Its totient is φ = 217479168.

The previous prime is 957012839. The next prime is 957012853. The reversal of 957012840 is 48210759.

957012840 is a `hidden beast` number, since 9 + 570 + 1 + 2 + 84 + 0 = 666.

957012840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 957012795 and 957012804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2093892 + ... + 2094348.

It is an arithmetic number, because the mean of its divisors is an integer number (14323950).

Almost surely, 2^957012840 is an apocalyptic number.

957012840 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 957012840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833465600).

957012840 is an abundant number, since it is smaller than the sum of its proper divisors (2709918360).

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

957012840 is a wasteful number, since it uses less digits than its factorization.

957012840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 957012840 is about 30935.6241249470. The cubic root of 957012840 is about 985.4605763462.

The spelling of 957012840 in words is "nine hundred fifty-seven million, twelve thousand, eight hundred forty".