360585 has 16 divisors (see below), whose sum is σ = 641280. Its totient is φ = 192240.

The previous prime is 360551. The next prime is 360589. The reversal of 360585 is 585063.

It is not a de Polignac number, because 360585 - 2⁷ = 360457 is a prime.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360585.

It is not an unprimeable number, because it can be changed into a prime (360589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1201 + ... + 1470.

It is an arithmetic number, because the mean of its divisors is an integer number (40080).

2³⁶⁰⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

360585 is a deficient number, since it is larger than the sum of its proper divisors (280695).

360585 is a wasteful number, since it uses less digits than its factorization.

360585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2679 counting only the distinct ones).

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

The square root of 360585 is about 600.4873021139. The cubic root of 360585 is about 71.1763782474.

It can be divided in two parts, 36058 and 5, that added together give a palindrome (36063).

The spelling of 360585 in words is "three hundred sixty thousand, five hundred eighty-five".