180900864 has 132 divisors (see below), whose sum is σ = 542438624. Its totient is φ = 60217344.

The previous prime is 180900833. The next prime is 180900877. The reversal of 180900864 is 468009081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 248469 + ... + 249195.

Almost surely, 2^180900864 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 180900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271219312).

180900864 is an abundant number, since it is smaller than the sum of its proper divisors (361537760).

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

180900864 is an frugal number, since it uses more digits than its factorization.

180900864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 180900864 is about 13449.9391820186. The cubic root of 180900864 is about 565.5619897006.

The spelling of 180900864 in words is "one hundred eighty million, nine hundred thousand, eight hundred sixty-four".