85180 has 12 divisors (see below), whose sum is σ = 178920. Its totient is φ = 34064.

The previous prime is 85159. The next prime is 85193. The reversal of 85180 is 8158.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2110 + ... + 2149.

It is an arithmetic number, because the mean of its divisors is an integer number (14910).

2⁸⁵¹⁸⁰ is an apocalyptic number.

It is an amenable number.

85180 is an abundant number, since it is smaller than the sum of its proper divisors (93740).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89460).

85180 is a wasteful number, since it uses less digits than its factorization.

85180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 85180 is about 291.8561289403. The cubic root of 85180 is about 43.9993112840. Note that the first 3 decimals are identical.

Subtracting from 85180 its sum of digits (22), we obtain a palindrome (85158).

The spelling of 85180 in words is "eighty-five thousand, one hundred eighty".