319603968 has 90 divisors (see below), whose sum is σ = 953063034. Its totient is φ = 106527744.

The previous prime is 319603967. The next prime is 319603981. The reversal of 319603968 is 869306913.

319603968 is a `hidden beast` number, since 31 + 9 + 603 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 308634624 + 10969344 = 17568^2 + 3312^2 .

It is a super-2 number, since 2×319603968² = 204293392722690048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319603967) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13030 + ... + 28442.

Almost surely, 2^319603968 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 319603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476531517).

319603968 is an abundant number, since it is smaller than the sum of its proper divisors (633459066).

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

319603968 is an equidigital number, since it uses as much as digits as its factorization.

319603968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15441 (or 15418 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 319603968 is about 17877.4709620796. The cubic root of 319603968 is about 683.7080933556.

The spelling of 319603968 in words is "three hundred nineteen million, six hundred three thousand, nine hundred sixty-eight".