857964168 has 48 divisors (see below), whose sum is σ = 2325452220. Its totient is φ = 285766656.

The previous prime is 857964137. The next prime is 857964181. The reversal of 857964168 is 861469758.

857964168 is a `hidden beast` number, since 8 + 579 + 6 + 4 + 1 + 68 = 666.

857964168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 835325604 + 22638564 = 28902^2 + 4758^2 .

It is a super-2 number, since 2×857964168² = 1472205027143864448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107980 + ... + 115652.

Almost surely, 2^857964168 is an apocalyptic number.

It is an amenable number.

857964168 is an abundant number, since it is smaller than the sum of its proper divisors (1467488052).

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

857964168 is a wasteful number, since it uses less digits than its factorization.

857964168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9238 (or 9231 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 857964168 is about 29291.0253832125. The cubic root of 857964168 is about 950.2175560840.

The spelling of 857964168 in words is "eight hundred fifty-seven million, nine hundred sixty-four thousand, one hundred sixty-eight".