368992 has 24 divisors (see below), whose sum is σ = 783216. Its totient is φ = 170112.

The previous prime is 368957. The next prime is 369007. The reversal of 368992 is 299863.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28 + ... + 859.

It is an arithmetic number, because the mean of its divisors is an integer number (32634).

2³⁶⁸⁹⁹² is an apocalyptic number.

368992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

368992 is an abundant number, since it is smaller than the sum of its proper divisors (414224).

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

368992 is a wasteful number, since it uses less digits than its factorization.

368992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 902 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 368992 is about 607.4471170398. The cubic root of 368992 is about 71.7252906534.

The spelling of 368992 in words is "three hundred sixty-eight thousand, nine hundred ninety-two".