24180 has 48 divisors (see below), whose sum is σ = 75264. Its totient is φ = 5760.

The previous prime is 24179. The next prime is 24181. The reversal of 24180 is 8142.

It is an interprime number because it is at equal distance from previous prime (24179) and next prime (24181).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (1568).

2²⁴¹⁸⁰ is an apocalyptic number.

24180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 155×156.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37632).

24180 is an abundant number, since it is smaller than the sum of its proper divisors (51084).

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

24180 is a wasteful number, since it uses less digits than its factorization.

24180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 54 counting only the distinct ones).

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

The square root of 24180 is about 155.4991961394. The cubic root of 24180 is about 28.9169243509.

The spelling of 24180 in words is "twenty-four thousand, one hundred eighty".