180720960 has 112 divisors (see below), whose sum is σ = 655783296. Its totient is φ = 41306112.

The previous prime is 180720949. The next prime is 180720977. The reversal of 180720960 is 69027081.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6727 + ... + 20166.

It is an arithmetic number, because the mean of its divisors is an integer number (5855208).

Almost surely, 2^180720960 is an apocalyptic number.

180720960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180720960 is an abundant number, since it is smaller than the sum of its proper divisors (475062336).

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

180720960 is a wasteful number, since it uses less digits than its factorization.

180720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26920 (or 26910 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 180720960 is about 13443.2496071448. The cubic root of 180720960 is about 565.3744457068.

The spelling of 180720960 in words is "one hundred eighty million, seven hundred twenty thousand, nine hundred sixty".