365904 has 120 divisors (see below), whose sum is σ = 1319360. Its totient is φ = 95040.

The previous prime is 365903. The next prime is 365929. The reversal of 365904 is 409563.

It is a happy number.

365904 is a `hidden beast` number, since 3 + 659 + 0 + 4 = 666.

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

It is a zygodrome in base 11.

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 365904.

It is not an unprimeable number, because it can be changed into a prime (365903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33259 + ... + 33269.

2³⁶⁵⁹⁰⁴ 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 365904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659680).

365904 is an abundant number, since it is smaller than the sum of its proper divisors (953456).

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

365904 is a wasteful number, since it uses less digits than its factorization.

365904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 365904 is about 604.8999917342. The cubic root of 365904 is about 71.5246463357.

The spelling of 365904 in words is "three hundred sixty-five thousand, nine hundred four".