585320 has 16 divisors (see below), whose sum is σ = 1317060. Its totient is φ = 234112.

The previous prime is 585317. The next prime is 585337. The reversal of 585320 is 23585.

585320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 481636 + 103684 = 694^2 + 322^2 .

It is a plaindrome in base 14.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7277 + ... + 7356.

2⁵⁸⁵³²⁰ is an apocalyptic number.

It is an amenable number.

585320 is an abundant number, since it is smaller than the sum of its proper divisors (731740).

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

585320 is a wasteful number, since it uses less digits than its factorization.

585320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14644 (or 14640 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 585320 is about 765.0620889836. The cubic root of 585320 is about 83.6497128832.

The spelling of 585320 in words is "five hundred eighty-five thousand, three hundred twenty".