180168960 has 72 divisors (see below), whose sum is σ = 575426880. Its totient is φ = 48044032.

The previous prime is 180168943. The next prime is 180168971. The reversal of 180168960 is 69861081.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 19620 + ... + 27299.

It is an arithmetic number, because the mean of its divisors is an integer number (7992040).

Almost surely, 2^180168960 is an apocalyptic number.

180168960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180168960 is an abundant number, since it is smaller than the sum of its proper divisors (395257920).

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

180168960 is an equidigital number, since it uses as much as digits as its factorization.

180168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46943 (or 46929 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 180168960 is about 13422.7031554751. The cubic root of 180168960 is about 564.7982259118.

The spelling of 180168960 in words is "one hundred eighty million, one hundred sixty-eight thousand, nine hundred sixty".