320791968 has 384 divisors, whose sum is σ = 1161216000. Its totient is φ = 84188160.

The previous prime is 320791963. The next prime is 320791969. The reversal of 320791968 is 869197023.

320791968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (320791963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5437123 + ... + 5437181.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2^320791968 is an apocalyptic number.

320791968 is the 11328-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320791968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608000).

320791968 is an abundant number, since it is smaller than the sum of its proper divisors (840424032).

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

320791968 is a wasteful number, since it uses less digits than its factorization.

320791968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 320791968 is about 17910.6663192635. Note that the first 3 decimals coincide. The cubic root of 320791968 is about 684.5541830691.

The spelling of 320791968 in words is "three hundred twenty million, seven hundred ninety-one thousand, nine hundred sixty-eight".