857931264 has 200 divisors, whose sum is σ = 2596472208. Its totient is φ = 282009600.

The previous prime is 857931251. The next prime is 857931281. The reversal of 857931264 is 462139758.

857931264 is a `hidden beast` number, since 8 + 579 + 3 + 12 + 64 = 666.

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 19 ways as a sum of consecutive naturals, for example, 5681589 + ... + 5681739.

Almost surely, 2^857931264 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 857931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298236104).

857931264 is an abundant number, since it is smaller than the sum of its proper divisors (1738540944).

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

857931264 is a wasteful number, since it uses less digits than its factorization.

857931264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 293 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 857931264 is about 29290.4637040795. The cubic root of 857931264 is about 950.2054085844.

The spelling of 857931264 in words is "eight hundred fifty-seven million, nine hundred thirty-one thousand, two hundred sixty-four".