368104 has 32 divisors (see below), whose sum is σ = 777600. Its totient is φ = 161920.

The previous prime is 368099. The next prime is 368107. The reversal of 368104 is 401863.

368104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368107) by changing a digit.

368104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4092 + ... + 4180.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

368104 is a Friedman number, since it can be written as 46013*8, using all its digits and the basic arithmetic operations.

2³⁶⁸¹⁰⁴ 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 368104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388800).

368104 is an abundant number, since it is smaller than the sum of its proper divisors (409496).

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

368104 is a wasteful number, since it uses less digits than its factorization.

368104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 368104 is about 606.7157489303. The cubic root of 368104 is about 71.6677074544.

Adding to 368104 its reverse (401863), we get a palindrome (769967).

The spelling of 368104 in words is "three hundred sixty-eight thousand, one hundred four".