319908960 has 384 divisors, whose sum is σ = 1306368000. Its totient is φ = 71608320.

The previous prime is 319908859. The next prime is 319908961. The reversal of 319908960 is 69809913.

319908960 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319908961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2146966 + ... + 2147114.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^319908960 is an apocalyptic number.

319908960 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 319908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184000).

319908960 is an abundant number, since it is smaller than the sum of its proper divisors (986459040).

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

319908960 is a wasteful number, since it uses less digits than its factorization.

319908960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 319908960 is about 17885.9989936263. The cubic root of 319908960 is about 683.9255074308.

The spelling of 319908960 in words is "three hundred nineteen million, nine hundred eight thousand, nine hundred sixty".