23800 has 48 divisors (see below), whose sum is σ = 66960. Its totient is φ = 7680.

The previous prime is 23789. The next prime is 23801. The reversal of 23800 is 832.

23800 = 18² + 19² + ... + 42².

23800 is nontrivially palindromic in base 13.

23800 is a nontrivial repdigit in base 13.

It is a plaindrome in base 13.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23801) by changing a digit.

23800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1392 + ... + 1408.

It is an arithmetic number, because the mean of its divisors is an integer number (1395).

2²³⁸⁰⁰ is an apocalyptic number.

23800 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 23800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480).

23800 is an abundant number, since it is smaller than the sum of its proper divisors (43160).

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

23800 is a wasteful number, since it uses less digits than its factorization.

23800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 23800 is about 154.2724862054. The cubic root of 23800 is about 28.7646428245.

The spelling of 23800 in words is "twenty-three thousand, eight hundred".