585240 has 32 divisors (see below), whose sum is σ = 1756080. Its totient is φ = 156032.

The previous prime is 585217. The next prime is 585251. The reversal of 585240 is 42585.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is a nialpdrome in base 15.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 585240.

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, 2319 + ... + 2558.

2⁵⁸⁵²⁴⁰ is an apocalyptic number.

It is an amenable number.

585240 is an abundant number, since it is smaller than the sum of its proper divisors (1170840).

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

585240 is a wasteful number, since it uses less digits than its factorization.

585240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 585240 is about 765.0098038587. The cubic root of 585240 is about 83.6459017019.

The spelling of 585240 in words is "five hundred eighty-five thousand, two hundred forty".