364104 has 48 divisors (see below), whose sum is σ = 1064700. Its totient is φ = 111744.

The previous prime is 364103. The next prime is 364127. The reversal of 364104 is 401463.

It can be written as a sum of positive squares in 2 ways, for example, as 324900 + 39204 = 570^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364104.

It is not an unprimeable number, because it can be changed into a prime (364103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 742 + ... + 1130.

2³⁶⁴¹⁰⁴ 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 364104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532350).

364104 is an abundant number, since it is smaller than the sum of its proper divisors (700596).

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

364104 is a wasteful number, since it uses less digits than its factorization.

364104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 364104 is about 603.4103081652. The cubic root of 364104 is about 71.4071692069.

Adding to 364104 its reverse (401463), we get a palindrome (765567).

The spelling of 364104 in words is "three hundred sixty-four thousand, one hundred four".