581980 has 24 divisors (see below), whose sum is σ = 1397088. Its totient is φ = 199488.

The previous prime is 581953. The next prime is 581981. The reversal of 581980 is 89185.

581980 = 16² + 17² + ... + 120².

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581981) 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, 1939 + ... + 2218.

It is an arithmetic number, because the mean of its divisors is an integer number (58212).

2⁵⁸¹⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

581980 is an abundant number, since it is smaller than the sum of its proper divisors (815108).

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

581980 is a wasteful number, since it uses less digits than its factorization.

581980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 581980 is about 762.8761367352. The cubic root of 581980 is about 83.4902997086.

The spelling of 581980 in words is "five hundred eighty-one thousand, nine hundred eighty".