180864190 has 32 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 62851584.

The previous prime is 180864179. The next prime is 180864191. The reversal of 180864190 is 91468081.

It is a happy number.

180864190 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×180864190² = 65423710448712200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180864191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38710 + ... + 43129.

It is an arithmetic number, because the mean of its divisors is an integer number (11600820).

Almost surely, 2^180864190 is an apocalyptic number.

180864190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180864190 is an abundant number, since it is smaller than the sum of its proper divisors (190362050).

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

180864190 is a wasteful number, since it uses less digits than its factorization.

180864190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81876.

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 180864190 is about 13448.5757610239. The cubic root of 180864190 is about 565.5237683571.

The spelling of 180864190 in words is "one hundred eighty million, eight hundred sixty-four thousand, one hundred ninety".