585880 has 32 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 230400.

The previous prime is 585877. The next prime is 585881. The reversal of 585880 is 88585.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585881) 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, 3805 + ... + 3955.

It is an arithmetic number, because the mean of its divisors is an integer number (41895).

2⁵⁸⁵⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

585880 is an abundant number, since it is smaller than the sum of its proper divisors (754760).

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

585880 is a wasteful number, since it uses less digits than its factorization.

585880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The square root of 585880 is about 765.4279848555. The cubic root of 585880 is about 83.6763814338.

The spelling of 585880 in words is "five hundred eighty-five thousand, eight hundred eighty".