368816 has 40 divisors (see below), whose sum is σ = 848160. Its totient is φ = 152064.

The previous prime is 368803. The next prime is 368833. The reversal of 368816 is 618863.

It is an unprimeable number.

368816 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 4100 + ... + 4188.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

2³⁶⁸⁸¹⁶ 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 368816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424080).

368816 is an abundant number, since it is smaller than the sum of its proper divisors (479344).

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

368816 is a wasteful number, since it uses less digits than its factorization.

368816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 368816 is about 607.3022311831. The cubic root of 368816 is about 71.7138851137.

Subtracting 368816 from its reverse (618863), we obtain a cube (250047 = 63³).

The spelling of 368816 in words is "three hundred sixty-eight thousand, eight hundred sixteen".