180930024 has 96 divisors (see below), whose sum is σ = 554430240. Its totient is φ = 54820800.

The previous prime is 180930011. The next prime is 180930047. The reversal of 180930024 is 420039081.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 180930024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17154 + ... + 25614.

It is an arithmetic number, because the mean of its divisors is an integer number (5775315).

Almost surely, 2^180930024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180930024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277215120).

180930024 is an abundant number, since it is smaller than the sum of its proper divisors (373500216).

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

180930024 is a wasteful number, since it uses less digits than its factorization.

180930024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 180930024 is about 13451.0231581096. The cubic root of 180930024 is about 565.5923763283.

The spelling of 180930024 in words is "one hundred eighty million, nine hundred thirty thousand, twenty-four".