857900160 has 640 divisors, whose sum is σ = 3524875200. Its totient is φ = 197074944.

The previous prime is 857900149. The next prime is 857900177. The reversal of 857900160 is 61009758.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12804447 + ... + 12804513.

Almost surely, 2^857900160 is an apocalyptic number.

857900160 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 857900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762437600).

857900160 is an abundant number, since it is smaller than the sum of its proper divisors (2666975040).

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

857900160 is a wasteful number, since it uses less digits than its factorization.

857900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 857900160 is about 29289.9327414728. The cubic root of 857900160 is about 950.1939253232.

The spelling of 857900160 in words is "eight hundred fifty-seven million, nine hundred thousand, one hundred sixty".