585980 has 24 divisors (see below), whose sum is σ = 1248912. Its totient is φ = 230912.

The previous prime is 585953. The next prime is 585989. The reversal of 585980 is 89585.

It is an Ulam number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 585980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585989) by changing a digit.

585980 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 7 ways as a sum of consecutive naturals, for example, 1484 + ... + 1836.

It is an arithmetic number, because the mean of its divisors is an integer number (52038).

2⁵⁸⁵⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

585980 is an abundant number, since it is smaller than the sum of its proper divisors (662932).

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

585980 is a wasteful number, since it uses less digits than its factorization.

585980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 585980 is about 765.4933050001. The cubic root of 585980 is about 83.6811418865.

The spelling of 585980 in words is "five hundred eighty-five thousand, nine hundred eighty".