580716 has 48 divisors (see below), whose sum is σ = 1590400. Its totient is φ = 182736.

The previous prime is 580711. The next prime is 580717. The reversal of 580716 is 617085.

580716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 580716.

It is not an unprimeable number, because it can be changed into a prime (580711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1911 + ... + 2193.

2⁵⁸⁰⁷¹⁶ 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 580716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795200).

580716 is an abundant number, since it is smaller than the sum of its proper divisors (1009684).

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

580716 is a wasteful number, since it uses less digits than its factorization.

580716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 580716 is about 762.0472426300. The cubic root of 580716 is about 83.4298118153.

It can be divided in two parts, 580 and 716, that added together give a 4-th power (1296 = 6⁴).

The spelling of 580716 in words is "five hundred eighty thousand, seven hundred sixteen".