319981056 has 80 divisors (see below), whose sum is σ = 873412848. Its totient is φ = 104038400.

The previous prime is 319981027. The next prime is 319981063. The reversal of 319981056 is 650189913.

319981056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 319980999 and 319981017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60436 + ... + 65516.

Almost surely, 2^319981056 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 319981056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436706424).

319981056 is an abundant number, since it is smaller than the sum of its proper divisors (553431792).

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

319981056 is an equidigital number, since it uses as much as digits as its factorization.

319981056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 319981056 is about 17888.0143112644. The cubic root of 319981056 is about 683.9768809942.

It can be divided in two parts, 3199 and 81056, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 319981056 in words is "three hundred nineteen million, nine hundred eighty-one thousand, fifty-six".