366768 has 50 divisors (see below), whose sum is σ = 1065284. Its totient is φ = 121824.

The previous prime is 366733. The next prime is 366787. The reversal of 366768 is 867663.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (36288) is a multiple of the sum of its prime divisors (288).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 366768.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1155 + ... + 1437.

2³⁶⁶⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532642).

366768 is an abundant number, since it is smaller than the sum of its proper divisors (698516).

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

366768 is a wasteful number, since it uses less digits than its factorization.

366768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

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

The square root of 366768 is about 605.6137382854. The cubic root of 366768 is about 71.5808985384.

The spelling of 366768 in words is "three hundred sixty-six thousand, seven hundred sixty-eight".