856180 has 48 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 304128.

The previous prime is 856169. The next prime is 856181. The reversal of 856180 is 81658.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35344 + 820836 = 188^2 + 906^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9576 + ... + 9664.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2⁸⁵⁶¹⁸⁰ 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 856180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480).

856180 is an abundant number, since it is smaller than the sum of its proper divisors (1154780).

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

856180 is a wasteful number, since it uses less digits than its factorization.

856180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 856180 is about 925.2999513671. The cubic root of 856180 is about 94.9558428209.

The spelling of 856180 in words is "eight hundred fifty-six thousand, one hundred eighty".