857104864 has 192 divisors, whose sum is σ = 2225664000. Its totient is φ = 321753600.

The previous prime is 857104849. The next prime is 857104883. The reversal of 857104864 is 468401758.

It is a self number, because there is not a number n which added to its sum of digits gives 857104864.

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 31 ways as a sum of consecutive naturals, for example, 3742702 + ... + 3742930.

It is an arithmetic number, because the mean of its divisors is an integer number (11592000).

Almost surely, 2^857104864 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 857104864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112832000).

857104864 is an abundant number, since it is smaller than the sum of its proper divisors (1368559136).

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

857104864 is a wasteful number, since it uses less digits than its factorization.

857104864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 857104864 is about 29276.3533248251. The cubic root of 857104864 is about 949.9002162970.

The spelling of 857104864 in words is "eight hundred fifty-seven million, one hundred four thousand, eight hundred sixty-four".