319890816 has 192 divisors, whose sum is σ = 1098846000. Its totient is φ = 91348992.

The previous prime is 319890773. The next prime is 319890817. The reversal of 319890816 is 618098913.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×319890816² = 204660268322291712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319890817) 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, 168400 + ... + 170288.

Almost surely, 2^319890816 is an apocalyptic number.

319890816 is a gapful number since it is divisible by the number (36) 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 319890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549423000).

319890816 is an abundant number, since it is smaller than the sum of its proper divisors (778955184).

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

319890816 is a wasteful number, since it uses less digits than its factorization.

319890816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 319890816 is about 17885.4917740609. The cubic root of 319890816 is about 683.9125773157.

The spelling of 319890816 in words is "three hundred nineteen million, eight hundred ninety thousand, eight hundred sixteen".