368766 has 16 divisors (see below), whose sum is σ = 819600. Its totient is φ = 122904.

The previous prime is 368743. The next prime is 368773. The reversal of 368766 is 667863.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 368766.

It is a congruent number.

It is an unprimeable number.

368766 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 7 ways as a sum of consecutive naturals, for example, 3361 + ... + 3468.

It is an arithmetic number, because the mean of its divisors is an integer number (51225).

2³⁶⁸⁷⁶⁶ is an apocalyptic number.

368766 is an abundant number, since it is smaller than the sum of its proper divisors (450834).

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

368766 is a wasteful number, since it uses less digits than its factorization.

368766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6840 (or 6834 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 368766 is about 607.2610641232. The cubic root of 368766 is about 71.7106442418.

It can be divided in two parts, 3687 and 66, that multiplied together give a palindrome (243342).

The spelling of 368766 in words is "three hundred sixty-eight thousand, seven hundred sixty-six".