85180580 has 24 divisors (see below), whose sum is σ = 179124792. Its totient is φ = 34025472.

The previous prime is 85180559. The next prime is 85180603. The reversal of 85180580 is 8508158.

It can be written as a sum of positive squares in 4 ways, for example, as 61504 + 85119076 = 248^2 + 9226^2 .

It is a super-3 number, since 3×85180580³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85180580.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14564 + ... + 19556.

It is an arithmetic number, because the mean of its divisors is an integer number (7463533).

Almost surely, 2^85180580 is an apocalyptic number.

It is an amenable number.

85180580 is an abundant number, since it is smaller than the sum of its proper divisors (93944212).

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

85180580 is a wasteful number, since it uses less digits than its factorization.

85180580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 35.

The square root of 85180580 is about 9229.3325869209. The cubic root of 85180580 is about 439.9941114914.

The spelling of 85180580 in words is "eighty-five million, one hundred eighty thousand, five hundred eighty".