23080 has 16 divisors (see below), whose sum is σ = 52020. Its totient is φ = 9216.

The previous prime is 23071. The next prime is 23081. The reversal of 23080 is 8032.

It can be written as a sum of positive squares in 2 ways, for example, as 21316 + 1764 = 146^2 + 42^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23080.

It is not an unprimeable number, because it can be changed into a prime (23081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 249 + ... + 328.

2²³⁰⁸⁰ is an apocalyptic number.

23080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23080 is an abundant number, since it is smaller than the sum of its proper divisors (28940).

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 (26010).

23080 is a wasteful number, since it uses less digits than its factorization.

23080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 584 counting only the distinct ones).

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

The square root of 23080 is about 151.9210321187. The cubic root of 23080 is about 28.4716040142.

Subtracting from 23080 its product of nonzero digits (48), we obtain a palindrome (23032).

The spelling of 23080 in words is "twenty-three thousand, eighty".