856680 has 96 divisors (see below), whose sum is σ = 2872800. Its totient is φ = 204160.

The previous prime is 856649. The next prime is 856693. The reversal of 856680 is 86658.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

856680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14491 + ... + 14549.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2⁸⁵⁶⁶⁸⁰ 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 856680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436400).

856680 is an abundant number, since it is smaller than the sum of its proper divisors (2016120).

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

856680 is a wasteful number, since it uses less digits than its factorization.

856680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 856680 is about 925.5700945904. The cubic root of 856680 is about 94.9743236241.

It can be divided in two parts, 8566 and 80, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 856680 in words is "eight hundred fifty-six thousand, six hundred eighty".