585220 has 24 divisors (see below), whose sum is σ = 1272600. Its totient is φ = 225792.

The previous prime is 585217. The next prime is 585251. The reversal of 585220 is 22585.

585220 = T₇ + T₈ + ... + T₁₅₁.

It can be written as a sum of positive squares in 4 ways, for example, as 31684 + 553536 = 178^2 + 744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 585191 and 585200.

It is a congruent number.

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, 76 + ... + 1084.

It is an arithmetic number, because the mean of its divisors is an integer number (53025).

2⁵⁸⁵²²⁰ 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 585220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636300).

585220 is an abundant number, since it is smaller than the sum of its proper divisors (687380).

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

585220 is a wasteful number, since it uses less digits than its factorization.

585220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 585220 is about 764.9967320192. The cubic root of 585220 is about 83.6449488523.

The spelling of 585220 in words is "five hundred eighty-five thousand, two hundred twenty".