585120 has 96 divisors (see below), whose sum is σ = 1959552. Its totient is φ = 146432.

The previous prime is 585119. The next prime is 585131. The reversal of 585120 is 21585.

It is a tau number, because it is divible by the number of its divisors (96).

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11014 + ... + 11066.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2⁵⁸⁵¹²⁰ 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 585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979776).

585120 is an abundant number, since it is smaller than the sum of its proper divisors (1374432).

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

585120 is a wasteful number, since it uses less digits than its factorization.

585120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 585120 is about 764.9313694705. The cubic root of 585120 is about 83.6401842787.

The spelling of 585120 in words is "five hundred eighty-five thousand, one hundred twenty".