158580 has 36 divisors (see below), whose sum is σ = 481572. Its totient is φ = 42240.

The previous prime is 158573. The next prime is 158581. The reversal of 158580 is 85851.

158580 is a `hidden beast` number, since 1 + 585 + 80 = 666.

158580 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 116964 = 204^2 + 342^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158581) by changing a digit.

158580 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 11 ways as a sum of consecutive naturals, for example, 261 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (13377).

2¹⁵⁸⁵⁸⁰ is an apocalyptic number.

158580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

158580 is an abundant number, since it is smaller than the sum of its proper divisors (322992).

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

158580 is a wasteful number, since it uses less digits than its factorization.

158580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 158580 is about 398.2210441451. The cubic root of 158580 is about 54.1272718157.

The spelling of 158580 in words is "one hundred fifty-eight thousand, five hundred eighty".