319904 has 24 divisors (see below), whose sum is σ = 679140. Its totient is φ = 147456.

The previous prime is 319901. The next prime is 319919. The reversal of 319904 is 409913.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 300304 + 19600 = 548^2 + 140^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 319904.

It is not an unprimeable number, because it can be changed into a prime (319901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32 + ... + 800.

2³¹⁹⁹⁰⁴ 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 319904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339570).

319904 is an abundant number, since it is smaller than the sum of its proper divisors (359236).

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

319904 is a wasteful number, since it uses less digits than its factorization.

319904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 319904 is about 565.6005657706. The cubic root of 319904 is about 68.3921972792.

Subtracting 319904 from its reverse (409913), we obtain a palindrome (90009).

The spelling of 319904 in words is "three hundred nineteen thousand, nine hundred four".