580720 has 80 divisors (see below), whose sum is σ = 1660608. Its totient is φ = 184320.

The previous prime is 580717. The next prime is 580733. The reversal of 580720 is 27085.

580720 = T₂₈₁ + T₂₈₂ + ... + T₂₉₄.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 580691 and 580700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9490 + ... + 9550.

2⁵⁸⁰⁷²⁰ 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 580720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830304).

580720 is an abundant number, since it is smaller than the sum of its proper divisors (1079888).

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

580720 is a wasteful number, since it uses less digits than its factorization.

580720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 580720 is about 762.0498671347. The cubic root of 580720 is about 83.4300033710.

The spelling of 580720 in words is "five hundred eighty thousand, seven hundred twenty".