368007 has 8 divisors (see below), whose sum is σ = 493680. Its totient is φ = 243840.

The previous prime is 367957. The next prime is 368021. The reversal of 368007 is 700863.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 368007 - 2⁷ = 367879 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 368007.

It is not an unprimeable number, because it can be changed into a prime (368047) by changing a digit.

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, 469 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (61710).

2³⁶⁸⁰⁰⁷ is an apocalyptic number.

368007 is a deficient number, since it is larger than the sum of its proper divisors (125673).

368007 is a wasteful number, since it uses less digits than its factorization.

368007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 368007 is about 606.6358050758. The cubic root of 368007 is about 71.6614117895.

The spelling of 368007 in words is "three hundred sixty-eight thousand, seven".