857985264 has 80 divisors (see below), whose sum is σ = 2542218240. Its totient is φ = 276765120.

The previous prime is 857985263. The next prime is 857985269. The reversal of 857985264 is 462589758.

857985264 is a `hidden beast` number, since 8 + 579 + 8 + 5 + 2 + 64 = 666.

It is a super-2 number, since 2×857985264² = 1472277426482299392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 857985264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857985263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18642 + ... + 45425.

It is an arithmetic number, because the mean of its divisors is an integer number (31777728).

Almost surely, 2^857985264 is an apocalyptic number.

It is an amenable number.

857985264 is an abundant number, since it is smaller than the sum of its proper divisors (1684232976).

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

857985264 is a wasteful number, since it uses less digits than its factorization.

857985264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64115 (or 64103 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 857985264 is about 29291.3854913010. The cubic root of 857985264 is about 950.2253441424.

The spelling of 857985264 in words is "eight hundred fifty-seven million, nine hundred eighty-five thousand, two hundred sixty-four".