580986 has 64 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 157248.

The previous prime is 580981. The next prime is 580997. The reversal of 580986 is 689085.

It is a self number, because there is not a number n which added to its sum of digits gives 580986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580981) by changing a digit.

580986 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10936 + ... + 10988.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2⁵⁸⁰⁹⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

580986 is an abundant number, since it is smaller than the sum of its proper divisors (974214).

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

580986 is a wasteful number, since it uses less digits than its factorization.

580986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 580986 is about 762.2243764142. The cubic root of 580986 is about 83.4427398553.

The spelling of 580986 in words is "five hundred eighty thousand, nine hundred eighty-six".