11580 has 24 divisors (see below), whose sum is σ = 32592. Its totient is φ = 3072.

The previous prime is 11579. The next prime is 11587. The reversal of 11580 is 8511.

It is a happy number.

11580 is nontrivially palindromic in base 11.

11580 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

11580 is strictly pandigital in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 156.

It is an arithmetic number, because the mean of its divisors is an integer number (1358).

2¹¹⁵⁸⁰ is an apocalyptic number.

11580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11580 is an abundant number, since it is smaller than the sum of its proper divisors (21012).

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 (16296).

11580 is a wasteful number, since it uses less digits than its factorization.

11580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 11580 is about 107.6104084185. The cubic root of 11580 is about 22.6240066513.

The spelling of 11580 in words is "eleven thousand, five hundred eighty".