368004 has 48 divisors (see below), whose sum is σ = 1059968. Its totient is φ = 96768.

The previous prime is 367957. The next prime is 368021. The reversal of 368004 is 400863.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 368004.

It is an unprimeable number.

368004 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 15 ways as a sum of consecutive naturals, for example, 924 + ... + 1260.

2³⁶⁸⁰⁰⁴ 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 368004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529984).

368004 is an abundant number, since it is smaller than the sum of its proper divisors (691964).

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

368004 is a wasteful number, since it uses less digits than its factorization.

368004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 368004 is about 606.6333324175. The cubic root of 368004 is about 71.6612170605.

Adding to 368004 its reverse (400863), we get a palindrome (768867).

The spelling of 368004 in words is "three hundred sixty-eight thousand, four".