856872 has 32 divisors (see below), whose sum is σ = 2380800. Its totient is φ = 285552.

The previous prime is 856853. The next prime is 856897. The reversal of 856872 is 278658.

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

It is a d-powerful number, because it can be written as 8 + 5 + 8³ + 6² + 7⁷ + 2¹⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1768 + ... + 2199.

It is an arithmetic number, because the mean of its divisors is an integer number (74400).

2⁸⁵⁶⁸⁷² is an apocalyptic number.

It is an amenable number.

856872 is an abundant number, since it is smaller than the sum of its proper divisors (1523928).

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

856872 is a wasteful number, since it uses less digits than its factorization.

856872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3972 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 856872 is about 925.6738086389. The cubic root of 856872 is about 94.9814183417.

It can be divided in two parts, 856 and 872, that added together give a cube (1728 = 12³).

The spelling of 856872 in words is "eight hundred fifty-six thousand, eight hundred seventy-two".