368320 has 28 divisors (see below), whose sum is σ = 877824. Its totient is φ = 147200.

The previous prime is 368293. The next prime is 368323. The reversal of 368320 is 23863.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 368291 and 368300.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368320.

It is not an unprimeable number, because it can be changed into a prime (368323) by changing a digit.

368320 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 3 ways as a sum of consecutive naturals, for example, 256 + ... + 895.

2³⁶⁸³²⁰ is an apocalyptic number.

It is an amenable number.

368320 is an abundant number, since it is smaller than the sum of its proper divisors (509504).

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

368320 is a wasteful number, since it uses less digits than its factorization.

368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 368320 is about 606.8937304010. The cubic root of 368320 is about 71.6817226946.

The spelling of 368320 in words is "three hundred sixty-eight thousand, three hundred twenty".