19632768 has 128 divisors (see below), whose sum is σ = 56548800. Its totient is φ = 6021120.

The previous prime is 19632763. The next prime is 19632779. The reversal of 19632768 is 86723691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (19632763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456555 + ... + 456597.

Almost surely, 2^19632768 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 19632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28274400).

19632768 is an abundant number, since it is smaller than the sum of its proper divisors (36916032).

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

19632768 is a wasteful number, since it uses less digits than its factorization.

19632768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 19632768 is about 4430.8879471275. The cubic root of 19632768 is about 269.7701198344.

The spelling of 19632768 in words is "nineteen million, six hundred thirty-two thousand, seven hundred sixty-eight".