857009664 has 180 divisors, whose sum is σ = 2844177336. Its totient is φ = 243357696.

The previous prime is 857009623. The next prime is 857009677. The reversal of 857009664 is 466900758.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5257647 + ... + 5257809.

Almost surely, 2^857009664 is an apocalyptic number.

857009664 is a gapful number since it is divisible by the number (84) 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 857009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422088668).

857009664 is an abundant number, since it is smaller than the sum of its proper divisors (1987167672).

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

857009664 is an equidigital number, since it uses as much as digits as its factorization.

857009664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 175 counting only the distinct ones).

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

The square root of 857009664 is about 29274.7273941193. The cubic root of 857009664 is about 949.8650460191.

The spelling of 857009664 in words is "eight hundred fifty-seven million, nine thousand, six hundred sixty-four".