585360 has 80 divisors (see below), whose sum is σ = 2023680. Its totient is φ = 155520.

The previous prime is 585341. The next prime is 585367. The reversal of 585360 is 63585.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (585367) by changing a digit.

585360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2025 + ... + 2295.

It is an arithmetic number, because the mean of its divisors is an integer number (25296).

2⁵⁸⁵³⁶⁰ 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 585360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011840).

585360 is an abundant number, since it is smaller than the sum of its proper divisors (1438320).

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

585360 is a wasteful number, since it uses less digits than its factorization.

585360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 585360 is about 765.0882302062. The cubic root of 585360 is about 83.6516183437.

The spelling of 585360 in words is "five hundred eighty-five thousand, three hundred sixty".