23880 has 32 divisors (see below), whose sum is σ = 72000. Its totient is φ = 6336.

The previous prime is 23879. The next prime is 23887. The reversal of 23880 is 8832.

It is not an unprimeable number, because it can be changed into a prime (23887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 219.

It is an arithmetic number, because the mean of its divisors is an integer number (2250).

2²³⁸⁸⁰ is an apocalyptic number.

23880 is a gapful number since it is divisible by the number (20) 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 23880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36000).

23880 is an abundant number, since it is smaller than the sum of its proper divisors (48120).

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

23880 is a wasteful number, since it uses less digits than its factorization.

23880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 23880 is about 154.5315501767. The cubic root of 23880 is about 28.7968360722.

It can be divided in two parts, 23 and 880, that added together give a triangular number (903 = T₄₂).

The spelling of 23880 in words is "twenty-three thousand, eight hundred eighty".