360804 has 24 divisors (see below), whose sum is σ = 852768. Its totient is φ = 118720.

The previous prime is 360803. The next prime is 360817. The reversal of 360804 is 408063.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360804.

It is not an unprimeable number, because it can be changed into a prime (360803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1144 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (35532).

2³⁶⁰⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

360804 is an abundant number, since it is smaller than the sum of its proper divisors (491964).

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

360804 is a wasteful number, since it uses less digits than its factorization.

360804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

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

The square root of 360804 is about 600.6696263338. The cubic root of 360804 is about 71.1907849034.

Adding to 360804 its sum of digits (21), we get a triangular number (360825 = T₈₄₉).

Adding to 360804 its reverse (408063), we get a palindrome (768867).

The spelling of 360804 in words is "three hundred sixty thousand, eight hundred four".