364704 has 48 divisors (see below), whose sum is σ = 997920. Its totient is φ = 116480.

The previous prime is 364699. The next prime is 364717. The reversal of 364704 is 407463.

364704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364704.

It is an unprimeable number.

364704 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 7 ways as a sum of consecutive naturals, for example, 2719 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2³⁶⁴⁷⁰⁴ 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 364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498960).

364704 is an abundant number, since it is smaller than the sum of its proper divisors (633216).

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

364704 is a wasteful number, since it uses less digits than its factorization.

364704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 364704 is about 603.9072776511. The cubic root of 364704 is about 71.4463711830.

The spelling of 364704 in words is "three hundred sixty-four thousand, seven hundred four".