857708640 has 576 divisors, whose sum is σ = 3396556800. Its totient is φ = 195858432.

The previous prime is 857708623. The next prime is 857708653. The reversal of 857708640 is 46807758.

It is a super-2 number, since 2×857708640² = 1471328222261299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18249097 + ... + 18249143.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2^857708640 is an apocalyptic number.

857708640 is a gapful number since it is divisible by the number (80) 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 857708640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698278400).

857708640 is an abundant number, since it is smaller than the sum of its proper divisors (2538848160).

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

857708640 is a wasteful number, since it uses less digits than its factorization.

857708640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 857708640 is about 29286.6631762651. The cubic root of 857708640 is about 950.1232120893.

The spelling of 857708640 in words is "eight hundred fifty-seven million, seven hundred eight thousand, six hundred forty".