360084 has 24 divisors (see below), whose sum is σ = 863968. Its totient is φ = 116640.

The previous prime is 360071. The next prime is 360089. The reversal of 360084 is 480063.

360084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 360084.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360084.

It is not an unprimeable number, because it can be changed into a prime (360089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39 + ... + 849.

2³⁶⁰⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

360084 is an abundant number, since it is smaller than the sum of its proper divisors (503884).

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

360084 is a wasteful number, since it uses less digits than its factorization.

360084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 360084 is about 600.0699959171. The cubic root of 360084 is about 71.1433986047.

Subtracting from 360084 its sum of digits (21), we obtain a palindrome (360063).

The spelling of 360084 in words is "three hundred sixty thousand, eighty-four".