580980 has 48 divisors (see below), whose sum is σ = 1701504. Its totient is φ = 147840.

The previous prime is 580969. The next prime is 580981. The reversal of 580980 is 89085.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 580980.

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

580980 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 1170 + ... + 1590.

It is an arithmetic number, because the mean of its divisors is an integer number (35448).

2⁵⁸⁰⁹⁸⁰ 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 580980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850752).

580980 is an abundant number, since it is smaller than the sum of its proper divisors (1120524).

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

580980 is a wasteful number, since it uses less digits than its factorization.

580980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 580980 is about 762.2204405551. The cubic root of 580980 is about 83.4424526090.

The spelling of 580980 in words is "five hundred eighty thousand, nine hundred eighty".