86180 has 24 divisors (see below), whose sum is σ = 188160. Its totient is φ = 33120.

The previous prime is 86179. The next prime is 86183. The reversal of 86180 is 8168.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (86183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (7840).

2⁸⁶¹⁸⁰ 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 86180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94080).

86180 is an abundant number, since it is smaller than the sum of its proper divisors (101980).

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

86180 is a wasteful number, since it uses less digits than its factorization.

86180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 86180 is about 293.5643030070. The cubic root of 86180 is about 44.1708235477.

The spelling of 86180 in words is "eighty-six thousand, one hundred eighty".