19768896 has 84 divisors (see below), whose sum is σ = 64772032. Its totient is φ = 5647104.

The previous prime is 19768871. The next prime is 19768907. The reversal of 19768896 is 69886791.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1581 + ... + 6483.

Almost surely, 2^19768896 is an apocalyptic number.

19768896 is a gapful number since it is divisible by the number (16) 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 19768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32386016).

19768896 is an abundant number, since it is smaller than the sum of its proper divisors (45003136).

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

19768896 is a wasteful number, since it uses less digits than its factorization.

19768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4928 (or 4915 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 19768896 is about 4446.2226664889. Note that the first 3 decimals coincide. The cubic root of 19768896 is about 270.3921872560.

The spelling of 19768896 in words is "nineteen million, seven hundred sixty-eight thousand, eight hundred ninety-six".