180960 has 96 divisors (see below), whose sum is σ = 635040. Its totient is φ = 43008.

The previous prime is 180959. The next prime is 181001. The reversal of 180960 is 69081.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 180960.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6226 + ... + 6254.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2¹⁸⁰⁹⁶⁰ is an apocalyptic number.

180960 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 180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

180960 is an abundant number, since it is smaller than the sum of its proper divisors (454080).

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

180960 is a wasteful number, since it uses less digits than its factorization.

180960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 180960 is about 425.3939350767. The cubic root of 180960 is about 56.5623609878.

The spelling of 180960 in words is "one hundred eighty thousand, nine hundred sixty".