856900 has 72 divisors (see below), whose sum is σ = 2187360. Its totient is φ = 288000.

The previous prime is 856897. The next prime is 856901. The reversal of 856900 is 9658.

It is a super-2 number, since 2×856900² = 1468555220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (856901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20880 + ... + 20920.

It is an arithmetic number, because the mean of its divisors is an integer number (30380).

2⁸⁵⁶⁹⁰⁰ 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 856900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093680).

856900 is an abundant number, since it is smaller than the sum of its proper divisors (1330460).

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

856900 is a wasteful number, since it uses less digits than its factorization.

856900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 856900 is about 925.6889326334. The cubic root of 856900 is about 94.9824528995.

The spelling of 856900 in words is "eight hundred fifty-six thousand, nine hundred".