319616 has 32 divisors (see below), whose sum is σ = 697680. Its totient is φ = 144640.

The previous prime is 319607. The next prime is 319639. The reversal of 319616 is 616913.

319616 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 319616.

It is an unprimeable number.

319616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1295 + ... + 1521.

2³¹⁹⁶¹⁶ 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 319616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348840).

319616 is an abundant number, since it is smaller than the sum of its proper divisors (378064).

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

319616 is a wasteful number, since it uses less digits than its factorization.

319616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

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

The square root of 319616 is about 565.3459118098. The cubic root of 319616 is about 68.3716673008.

The spelling of 319616 in words is "three hundred nineteen thousand, six hundred sixteen".