320368000 has 64 divisors (see below), whose sum is σ = 796554720. Its totient is φ = 128140800.

The previous prime is 320367997. The next prime is 320368001. The reversal of 320368000 is 863023.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320368001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5989 + ... + 26011.

Almost surely, 2^320368000 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 320368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398277360).

320368000 is an abundant number, since it is smaller than the sum of its proper divisors (476186720).

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

320368000 is an equidigital number, since it uses as much as digits as its factorization.

320368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20052 (or 20030 counting only the distinct ones).

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

The square root of 320368000 is about 17898.8267771941. The cubic root of 320368000 is about 684.2524745381.

The spelling of 320368000 in words is "three hundred twenty million, three hundred sixty-eight thousand".