319785648 has 160 divisors (see below), whose sum is σ = 1024934400. Its totient is φ = 83662848.

The previous prime is 319785643. The next prime is 319785659. The reversal of 319785648 is 846587913.

It is a self number, because there is not a number n which added to its sum of digits gives 319785648.

It is not an unprimeable number, because it can be changed into a prime (319785643) by changing a digit.

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, 781668 + ... + 782076.

It is an arithmetic number, because the mean of its divisors is an integer number (6405840).

Almost surely, 2^319785648 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 319785648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512467200).

319785648 is an abundant number, since it is smaller than the sum of its proper divisors (705148752).

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

319785648 is a wasteful number, since it uses less digits than its factorization.

319785648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 319785648 is about 17882.5514958017. The cubic root of 319785648 is about 683.8376209056.

The spelling of 319785648 in words is "three hundred nineteen million, seven hundred eighty-five thousand, six hundred forty-eight".