580580 has 96 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 161280.

The previous prime is 580577. The next prime is 580607. The reversal of 580580 is 85085.

It is a super-3 number, since 3×580580³ = 587093764593336000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20006 + ... + 20034.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2⁵⁸⁰⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

580580 is an abundant number, since it is smaller than the sum of its proper divisors (1112860).

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

580580 is a wasteful number, since it uses less digits than its factorization.

580580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 580580 is about 761.9580040921. The cubic root of 580580 is about 83.4232983961.

It can be divided in two parts, 5805 and 80, that added together give a palindrome (5885).

The spelling of 580580 in words is "five hundred eighty thousand, five hundred eighty".