180085320 has 48 divisors (see below), whose sum is σ = 585278460. Its totient is φ = 48022656.

The previous prime is 180085309. The next prime is 180085337. The reversal of 180085320 is 23580081.

It is a happy number.

180085320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 173765124 + 6320196 = 13182^2 + 2514^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249759 + ... + 250478.

Almost surely, 2^180085320 is an apocalyptic number.

180085320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180085320 is an abundant number, since it is smaller than the sum of its proper divisors (405193140).

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

180085320 is a wasteful number, since it uses less digits than its factorization.

180085320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500254 (or 500247 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 180085320 is about 13419.5871769589. The cubic root of 180085320 is about 564.7108134527.

The spelling of 180085320 in words is "one hundred eighty million, eighty-five thousand, three hundred twenty".