368808 has 48 divisors (see below), whose sum is σ = 1021440. Its totient is φ = 110880.

The previous prime is 368803. The next prime is 368833. The reversal of 368808 is 808863.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (368801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2841 + ... + 2967.

It is an arithmetic number, because the mean of its divisors is an integer number (21280).

2³⁶⁸⁸⁰⁸ 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 368808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510720).

368808 is an abundant number, since it is smaller than the sum of its proper divisors (652632).

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

368808 is a wasteful number, since it uses less digits than its factorization.

368808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 368808 is about 607.2956446411. The cubic root of 368808 is about 71.7133665939.

It can be divided in two parts, 368 and 808, that added together give a triangular number (1176 = T₄₈).

The spelling of 368808 in words is "three hundred sixty-eight thousand, eight hundred eight".