23180 has 24 divisors (see below), whose sum is σ = 52080. Its totient is φ = 8640.

The previous prime is 23173. The next prime is 23189. The reversal of 23180 is 8132.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (23189) 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, 350 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (2170).

2²³¹⁸⁰ is an apocalyptic number.

23180 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 23180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26040).

23180 is an abundant number, since it is smaller than the sum of its proper divisors (28900).

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

23180 is a wasteful number, since it uses less digits than its factorization.

23180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 23180 is about 152.2497947453. The cubic root of 23180 is about 28.5126649364.

Subtracting from 23180 its product of nonzero digits (48), we obtain a palindrome (23132).

The spelling of 23180 in words is "twenty-three thousand, one hundred eighty".