115580 has 12 divisors (see below), whose sum is σ = 242760. Its totient is φ = 46224.

The previous prime is 115571. The next prime is 115589. The reversal of 115580 is 85511.

115580 = 33² + 34² + ... + 72².

It is an interprime number because it is at equal distance from previous prime (115571) and next prime (115589).

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5779 = 115580 / (1 + 1 + 5 + 5 + 8 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115589) by changing a digit.

115580 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 3 ways as a sum of consecutive naturals, for example, 2870 + ... + 2909.

It is an arithmetic number, because the mean of its divisors is an integer number (20230).

2¹¹⁵⁵⁸⁰ is an apocalyptic number.

115580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115580 is an abundant number, since it is smaller than the sum of its proper divisors (127180).

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

115580 is a wasteful number, since it uses less digits than its factorization.

115580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 115580 is about 339.9705869630. The cubic root of 115580 is about 48.7110580969.

Adding to 115580 its sum of digits (20), we get a square (115600 = 340²).

The spelling of 115580 in words is "one hundred fifteen thousand, five hundred eighty".