855180 has 36 divisors (see below), whose sum is σ = 2594592. Its totient is φ = 228000.

The previous prime is 855143. The next prime is 855187. The reversal of 855180 is 81558.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (855187) by changing a digit.

855180 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 11 ways as a sum of consecutive naturals, for example, 2196 + ... + 2555.

It is an arithmetic number, because the mean of its divisors is an integer number (72072).

2⁸⁵⁵¹⁸⁰ is an apocalyptic number.

It is an amenable number.

855180 is an abundant number, since it is smaller than the sum of its proper divisors (1739412).

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

855180 is a wasteful number, since it uses less digits than its factorization.

855180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 855180 is about 924.7594281758. The cubic root of 855180 is about 94.9188596182.

It can be divided in two parts, 855 and 180, that added together give a triangular number (1035 = T₄₅).

The spelling of 855180 in words is "eight hundred fifty-five thousand, one hundred eighty".