19791968 has 48 divisors (see below), whose sum is σ = 44906400. Its totient is φ = 8411136.

The previous prime is 19791953. The next prime is 19791973. The reversal of 19791968 is 86919791.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33080 + ... + 33672.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 2^19791968 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 19791968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22453200).

19791968 is an abundant number, since it is smaller than the sum of its proper divisors (25114432).

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

19791968 is a wasteful number, since it uses less digits than its factorization.

19791968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 751 counting only the distinct ones).

The product of its digits is 244944, while the sum is 50.

The square root of 19791968 is about 4448.8164718271. The cubic root of 19791968 is about 270.4973366646.

The spelling of 19791968 in words is "nineteen million, seven hundred ninety-one thousand, nine hundred sixty-eight".