367104 has 40 divisors (see below), whose sum is σ = 982080. Its totient is φ = 121856.

The previous prime is 367097. The next prime is 367121. The reversal of 367104 is 401763.

367104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 367104.

It is an unprimeable number.

367104 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 3 ways as a sum of consecutive naturals, for example, 1417 + ... + 1655.

It is an arithmetic number, because the mean of its divisors is an integer number (24552).

2³⁶⁷¹⁰⁴ 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 367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

367104 is an abundant number, since it is smaller than the sum of its proper divisors (614976).

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

367104 is an equidigital number, since it uses as much as digits as its factorization.

367104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 367104 is about 605.8910793204. The cubic root of 367104 is about 71.6027505367.

Adding to 367104 its reverse (401763), we get a palindrome (768867).

It can be divided in two parts, 36 and 7104, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 367104 in words is "three hundred sixty-seven thousand, one hundred four".