24880 has 20 divisors (see below), whose sum is σ = 58032. Its totient is φ = 9920.

The previous prime is 24877. The next prime is 24889. The reversal of 24880 is 8842.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (24889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76 + ... + 235.

2²⁴⁸⁸⁰ is an apocalyptic number.

24880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24880 is an abundant number, since it is smaller than the sum of its proper divisors (33152).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016).

24880 is a wasteful number, since it uses less digits than its factorization.

With its successor (24881) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (318).

24880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 24880 is about 157.7339532250. The cubic root of 24880 is about 29.1933180432.

The spelling of 24880 in words is "twenty-four thousand, eight hundred eighty".