580112 has 20 divisors (see below), whose sum is σ = 1210860. Its totient is φ = 267648.

The previous prime is 580093. The next prime is 580133. The reversal of 580112 is 211085.

It can be written as a sum of positive squares in 2 ways, for example, as 215296 + 364816 = 464^2 + 604^2 .

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 1187 + ... + 1602.

It is an arithmetic number, because the mean of its divisors is an integer number (60543).

2⁵⁸⁰¹¹² is an apocalyptic number.

580112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

580112 is an abundant number, since it is smaller than the sum of its proper divisors (630748).

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

580112 is a wasteful number, since it uses less digits than its factorization.

580112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 580112 is about 761.6508386393. The cubic root of 580112 is about 83.4008767953.

Adding to 580112 its reverse (211085), we get a palindrome (791197).

The spelling of 580112 in words is "five hundred eighty thousand, one hundred twelve".