19903968 has 120 divisors (see below), whose sum is σ = 66960432. Its totient is φ = 5681664.

The previous prime is 19903967. The next prime is 19903973. The reversal of 19903968 is 86930991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19903967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17596 + ... + 18692.

Almost surely, 2^19903968 is an apocalyptic number.

19903968 is a gapful number since it is divisible by the number (18) 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 19903968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480216).

19903968 is an abundant number, since it is smaller than the sum of its proper divisors (47056464).

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

19903968 is a wasteful number, since it uses less digits than its factorization.

19903968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 19903968 is about 4461.3863316238. The cubic root of 19903968 is about 271.0066128568.

The spelling of 19903968 in words is "nineteen million, nine hundred three thousand, nine hundred sixty-eight".