19863968 has 48 divisors (see below), whose sum is σ = 42325920. Its totient is φ = 9144576.

The previous prime is 19863953. The next prime is 19863971. The reversal of 19863968 is 86936891.

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 7 ways as a sum of consecutive naturals, for example, 22055 + ... + 22937.

It is an arithmetic number, because the mean of its divisors is an integer number (881790).

Almost surely, 2^19863968 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 19863968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162960).

19863968 is an abundant number, since it is smaller than the sum of its proper divisors (22461952).

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

19863968 is a wasteful number, since it uses less digits than its factorization.

19863968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 941 counting only the distinct ones).

The product of its digits is 559872, while the sum is 50.

The square root of 19863968 is about 4456.9011656082. The cubic root of 19863968 is about 270.8249483374.

The spelling of 19863968 in words is "nineteen million, eight hundred sixty-three thousand, nine hundred sixty-eight".