580880 has 40 divisors (see below), whose sum is σ = 1386072. Its totient is φ = 226304.

The previous prime is 580871. The next prime is 580889. The reversal of 580880 is 88085.

It is an interprime number because it is at equal distance from previous prime (580871) and next prime (580889).

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 456976 = 352^2 + 676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 580880.

It is not an unprimeable number, because it can be changed into a prime (580889) 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, 4172 + ... + 4308.

2⁵⁸⁰⁸⁸⁰ 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 580880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693036).

580880 is an abundant number, since it is smaller than the sum of its proper divisors (805192).

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

580880 is a wasteful number, since it uses less digits than its factorization.

580880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 580880 is about 762.1548399112. The cubic root of 580880 is about 83.4376648802.

The spelling of 580880 in words is "five hundred eighty thousand, eight hundred eighty".