857395968 has 288 divisors, whose sum is σ = 2766365952. Its totient is φ = 232243200.

The previous prime is 857395967. The next prime is 857396011. The reversal of 857395968 is 869593758.

It is not an unprimeable number, because it can be changed into a prime (857395967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4063383 + ... + 4063593.

Almost surely, 2^857395968 is an apocalyptic number.

857395968 is a gapful number since it is divisible by the number (88) 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 857395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383182976).

857395968 is an abundant number, since it is smaller than the sum of its proper divisors (1908969984).

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

857395968 is a wasteful number, since it uses less digits than its factorization.

857395968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 60.

The square root of 857395968 is about 29281.3245602039. The cubic root of 857395968 is about 950.0077443505.

The spelling of 857395968 in words is "eight hundred fifty-seven million, three hundred ninety-five thousand, nine hundred sixty-eight".