585520 has 40 divisors (see below), whose sum is σ = 1468656. Its totient is φ = 215808.

The previous prime is 585517. The next prime is 585547. The reversal of 585520 is 25585.

585520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759 + ... + 1321.

2⁵⁸⁵⁵²⁰ 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 585520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734328).

585520 is an abundant number, since it is smaller than the sum of its proper divisors (883136).

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

585520 is a wasteful number, since it uses less digits than its factorization.

585520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 585520 is about 765.1927861657. The cubic root of 585520 is about 83.6592393175.

The spelling of 585520 in words is "five hundred eighty-five thousand, five hundred twenty".