180612720 has 80 divisors (see below), whose sum is σ = 622117920. Its totient is φ = 48162816.

The previous prime is 180612703. The next prime is 180612763. The reversal of 180612720 is 27216081.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 39649 + ... + 43968.

It is an arithmetic number, because the mean of its divisors is an integer number (7776474).

Almost surely, 2^180612720 is an apocalyptic number.

180612720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180612720 is an abundant number, since it is smaller than the sum of its proper divisors (441505200).

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

180612720 is a wasteful number, since it uses less digits than its factorization.

180612720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83639 (or 83627 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 180612720 is about 13439.2231918366. The cubic root of 180612720 is about 565.2615490962.

The spelling of 180612720 in words is "one hundred eighty million, six hundred twelve thousand, seven hundred twenty".