319681920 has 256 divisors, whose sum is σ = 1085736960. Its totient is φ = 79872000.

The previous prime is 319681913. The next prime is 319681969. The reversal of 319681920 is 29186913.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2440255 + ... + 2440385.

It is an arithmetic number, because the mean of its divisors is an integer number (4241160).

Almost surely, 2^319681920 is an apocalyptic number.

319681920 is a gapful number since it is divisible by the number (30) 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 319681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542868480).

319681920 is an abundant number, since it is smaller than the sum of its proper divisors (766055040).

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

319681920 is a wasteful number, since it uses less digits than its factorization.

319681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 319681920 is about 17879.6510033054. The cubic root of 319681920 is about 683.7636747274.

The spelling of 319681920 in words is "three hundred nineteen million, six hundred eighty-one thousand, nine hundred twenty".