585420 has 48 divisors (see below), whose sum is σ = 1790208. Its totient is φ = 141760.

The previous prime is 585413. The next prime is 585437. The reversal of 585420 is 24585.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (37296).

2⁵⁸⁵⁴²⁰ 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 585420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895104).

585420 is an abundant number, since it is smaller than the sum of its proper divisors (1204788).

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

585420 is a wasteful number, since it uses less digits than its factorization.

585420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 908 counting only the distinct ones).

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

The square root of 585420 is about 765.1274403653. The cubic root of 585420 is about 83.6544763716.

The spelling of 585420 in words is "five hundred eighty-five thousand, four hundred twenty".