320768316 has 96 divisors (see below), whose sum is σ = 912576000. Its totient is φ = 96629760.

The previous prime is 320768311. The next prime is 320768339. The reversal of 320768316 is 613867023.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320768311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228585 + ... + 229983.

It is an arithmetic number, because the mean of its divisors is an integer number (9506000).

Almost surely, 2^320768316 is an apocalyptic number.

320768316 is a gapful number since it is divisible by the number (36) 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 320768316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456288000).

320768316 is an abundant number, since it is smaller than the sum of its proper divisors (591807684).

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

320768316 is a wasteful number, since it uses less digits than its factorization.

320768316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 320768316 is about 17910.0060301497. The cubic root of 320768316 is about 684.5373585898.

The spelling of 320768316 in words is "three hundred twenty million, seven hundred sixty-eight thousand, three hundred sixteen".