180390560 has 192 divisors, whose sum is σ = 526176000. Its totient is φ = 58254336.

The previous prime is 180390533. The next prime is 180390563. The reversal of 180390560 is 65093081.

It is a super-2 number, since 2×180390560² = 65081508274227200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (180390563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042634 + ... + 1042806.

It is an arithmetic number, because the mean of its divisors is an integer number (2740500).

Almost surely, 2^180390560 is an apocalyptic number.

180390560 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 180390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263088000).

180390560 is an abundant number, since it is smaller than the sum of its proper divisors (345785440).

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

180390560 is a wasteful number, since it uses less digits than its factorization.

180390560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 180390560 is about 13430.9552899263. The cubic root of 180390560 is about 565.0296901410.

The spelling of 180390560 in words is "one hundred eighty million, three hundred ninety thousand, five hundred sixty".