857949312 has 128 divisors (see below), whose sum is σ = 2594488320. Its totient is φ = 248652800.

The previous prime is 857949299. The next prime is 857949343. The reversal of 857949312 is 213949758.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×857949312² = 1472154043922546688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92737 + ... + 101567.

It is an arithmetic number, because the mean of its divisors is an integer number (20269440).

Almost surely, 2^857949312 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 857949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297244160).

857949312 is an abundant number, since it is smaller than the sum of its proper divisors (1736539008).

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

857949312 is a wasteful number, since it uses less digits than its factorization.

857949312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8882 (or 8870 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 857949312 is about 29290.7717890806. The cubic root of 857949312 is about 950.2120715840.

The spelling of 857949312 in words is "eight hundred fifty-seven million, nine hundred forty-nine thousand, three hundred twelve".