368008 has 16 divisors (see below), whose sum is σ = 696780. Its totient is φ = 182208.

The previous prime is 367957. The next prime is 368021. The reversal of 368008 is 800863.

It can be written as a sum of positive squares in 2 ways, for example, as 357604 + 10404 = 598^2 + 102^2 .

It is an unprimeable number.

368008 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, 1110 + ... + 1402.

2³⁶⁸⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

368008 is a deficient number, since it is larger than the sum of its proper divisors (328772).

368008 is a wasteful number, since it uses less digits than its factorization.

368008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 368008 is about 606.6366292930. The cubic root of 368008 is about 71.6614766989.

The spelling of 368008 in words is "three hundred sixty-eight thousand, eight".