319859964 has 72 divisors (see below), whose sum is σ = 860500368. Its totient is φ = 99832320.

The previous prime is 319859963. The next prime is 319859971. The reversal of 319859964 is 469958913.

It is a self number, because there is not a number n which added to its sum of digits gives 319859964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319859963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127894 + ... + 130370.

It is an arithmetic number, because the mean of its divisors is an integer number (11951394).

Almost surely, 2^319859964 is an apocalyptic number.

319859964 is a gapful number since it is divisible by the number (34) 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 319859964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430250184).

319859964 is an abundant number, since it is smaller than the sum of its proper divisors (540640404).

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

319859964 is a wasteful number, since it uses less digits than its factorization.

319859964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2710 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 319859964 is about 17884.6292664959. The cubic root of 319859964 is about 683.8905898665.

The spelling of 319859964 in words is "three hundred nineteen million, eight hundred fifty-nine thousand, nine hundred sixty-four".