180024 has 32 divisors (see below), whose sum is σ = 485520. Its totient is φ = 55296.

The previous prime is 180023. The next prime is 180043. The reversal of 180024 is 420081.

It is a super-3 number, since 3×180024³ = 17502999333161472, which contains 333 as substring.

It is an Ulam number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 179985 and 180012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180023) by changing a digit.

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, 24 + ... + 600.

2¹⁸⁰⁰²⁴ 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 180024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242760).

180024 is an abundant number, since it is smaller than the sum of its proper divisors (305496).

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

180024 is a wasteful number, since it uses less digits than its factorization.

180024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 180024 is about 424.2923520404. The cubic root of 180024 is about 56.4646710508.

The spelling of 180024 in words is "one hundred eighty thousand, twenty-four".