368688 has 20 divisors (see below), whose sum is σ = 952568. Its totient is φ = 122880.

The previous prime is 368653. The next prime is 368689. The reversal of 368688 is 886863.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (368689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3793 + ... + 3888.

2³⁶⁸⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

368688 is an abundant number, since it is smaller than the sum of its proper divisors (583880).

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

368688 is a wasteful number, since it uses less digits than its factorization.

368688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7692 (or 7686 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 368688 is about 607.1968379364. The cubic root of 368688 is about 71.7055878965.

The spelling of 368688 in words is "three hundred sixty-eight thousand, six hundred eighty-eight".