180864320 has 112 divisors (see below), whose sum is σ = 530156928. Its totient is φ = 57231360.

The previous prime is 180864247. The next prime is 180864361. The reversal of 180864320 is 23468081.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26015 + ... + 32225.

It is an arithmetic number, because the mean of its divisors is an integer number (4733544).

Almost surely, 2^180864320 is an apocalyptic number.

180864320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265078464).

180864320 is an abundant number, since it is smaller than the sum of its proper divisors (349292608).

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

180864320 is a wasteful number, since it uses less digits than its factorization.

180864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6248 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 180864320 is about 13448.5805942486. The cubic root of 180864320 is about 565.5239038512.

The spelling of 180864320 in words is "one hundred eighty million, eight hundred sixty-four thousand, three hundred twenty".