857642304 has 56 divisors (see below), whose sum is σ = 2275210080. Its totient is φ = 285121024.

The previous prime is 857642293. The next prime is 857642329. The reversal of 857642304 is 403246758.

It is a happy number.

It is a super-2 number, since 2×857642304² = 1471100643220856832, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 68947 + ... + 80429.

Almost surely, 2^857642304 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 857642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137605040).

857642304 is an abundant number, since it is smaller than the sum of its proper divisors (1417567776).

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

857642304 is a wasteful number, since it uses less digits than its factorization.

857642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11887 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 857642304 is about 29285.5306252081. The cubic root of 857642304 is about 950.0987169809.

The spelling of 857642304 in words is "eight hundred fifty-seven million, six hundred forty-two thousand, three hundred four".