23580 has 36 divisors (see below), whose sum is σ = 72072. Its totient is φ = 6240.

The previous prime is 23567. The next prime is 23581. The reversal of 23580 is 8532.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23581) by changing a digit.

23580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 115 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (2002).

2²³⁵⁸⁰ is an apocalyptic number.

23580 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 23580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36036).

23580 is an abundant number, since it is smaller than the sum of its proper divisors (48492).

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

23580 is a wasteful number, since it uses less digits than its factorization.

23580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 23580 is about 153.5578067048. The cubic root of 23580 is about 28.6757377699.

The spelling of 23580 in words is "twenty-three thousand, five hundred eighty".