320916960 has 576 divisors, whose sum is σ = 1408942080. Its totient is φ = 64696320.

The previous prime is 320916943. The next prime is 320916971. The reversal of 320916960 is 69619023.

320916960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062201 + ... + 4062279.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2^320916960 is an apocalyptic number.

320916960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704471040).

320916960 is an abundant number, since it is smaller than the sum of its proper divisors (1088025120).

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

320916960 is a wasteful number, since it uses less digits than its factorization.

320916960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 320916960 is about 17914.1552968595. The cubic root of 320916960 is about 684.6430804382.

The spelling of 320916960 in words is "three hundred twenty million, nine hundred sixteen thousand, nine hundred sixty".