319711968 has 192 divisors, whose sum is σ = 977901120. Its totient is φ = 101523456.

The previous prime is 319711967. The next prime is 319711991. The reversal of 319711968 is 869117913.

Its product of digits (81648) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319711961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2333596 + ... + 2333732.

It is an arithmetic number, because the mean of its divisors is an integer number (5093235).

Almost surely, 2^319711968 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 319711968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488950560).

319711968 is an abundant number, since it is smaller than the sum of its proper divisors (658189152).

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

319711968 is a wasteful number, since it uses less digits than its factorization.

319711968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 319711968 is about 17880.4912684188. The cubic root of 319711968 is about 683.7850971538.

The spelling of 319711968 in words is "three hundred nineteen million, seven hundred eleven thousand, nine hundred sixty-eight".