319264016 has 40 divisors (see below), whose sum is σ = 642518400. Its totient is φ = 153498240.

The previous prime is 319264003. The next prime is 319264019. The reversal of 319264016 is 610462913.

It is not an unprimeable number, because it can be changed into a prime (319264019) 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 7 ways as a sum of consecutive naturals, for example, 124475 + ... + 127013.

It is an arithmetic number, because the mean of its divisors is an integer number (16062960).

Almost surely, 2^319264016 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 319264016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321259200).

319264016 is an abundant number, since it is smaller than the sum of its proper divisors (323254384).

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

319264016 is a wasteful number, since it uses less digits than its factorization.

319264016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 319264016 is about 17867.9605999118. The cubic root of 319264016 is about 683.4655949155.

The spelling of 319264016 in words is "three hundred nineteen million, two hundred sixty-four thousand, sixteen".