319648896 has 256 divisors, whose sum is σ = 1098988800. Its totient is φ = 89579520.

The previous prime is 319648873. The next prime is 319648907. The reversal of 319648896 is 698846913.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 1765926 + ... + 1766106.

It is an arithmetic number, because the mean of its divisors is an integer number (4292925).

Almost surely, 2^319648896 is an apocalyptic number.

319648896 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 319648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549494400).

319648896 is an abundant number, since it is smaller than the sum of its proper divisors (779339904).

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

319648896 is a wasteful number, since it uses less digits than its factorization.

319648896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 319648896 is about 17878.7274714953. The cubic root of 319648896 is about 683.7401290426.

The spelling of 319648896 in words is "three hundred nineteen million, six hundred forty-eight thousand, eight hundred ninety-six".