180393120 has 144 divisors (see below), whose sum is σ = 651891240. Its totient is φ = 45268992.

The previous prime is 180393089. The next prime is 180393133. The reversal of 180393120 is 21393081.

180393120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 179667216 + 725904 = 13404^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20796 + ... + 28164.

Almost surely, 2^180393120 is an apocalyptic number.

180393120 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 180393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325945620).

180393120 is an abundant number, since it is smaller than the sum of its proper divisors (471498120).

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

180393120 is a wasteful number, since it uses less digits than its factorization.

180393120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 180393120 is about 13431.0505918189. The cubic root of 180393120 is about 565.0323629882.

The spelling of 180393120 in words is "one hundred eighty million, three hundred ninety-three thousand, one hundred twenty".