319944960 has 108 divisors (see below), whose sum is σ = 1107016092. Its totient is φ = 85315584.

The previous prime is 319944953. The next prime is 319945001. The reversal of 319944960 is 69449913.

It can be written as a sum of positive squares in 2 ways, for example, as 159365376 + 160579584 = 12624^2 + 12672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2367 + ... + 25406.

It is an arithmetic number, because the mean of its divisors is an integer number (10250149).

Almost surely, 2^319944960 is an apocalyptic number.

319944960 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 319944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553508046).

319944960 is an abundant number, since it is smaller than the sum of its proper divisors (787071132).

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

319944960 is a wasteful number, since it uses less digits than its factorization.

319944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27800 (or 27783 counting only the distinct ones).

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

The square root of 319944960 is about 17887.0053390723. The cubic root of 319944960 is about 683.9511609737.

The spelling of 319944960 in words is "three hundred nineteen million, nine hundred forty-four thousand, nine hundred sixty".