19680984 has 96 divisors (see below), whose sum is σ = 56019600. Its totient is φ = 6236160.

The previous prime is 19680977. The next prime is 19680989. The reversal of 19680984 is 48908691.

It is a super-2 number, since 2×19680984² = 774682262416512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19680989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174112 + ... + 174224.

Almost surely, 2^19680984 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 19680984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009800).

19680984 is an abundant number, since it is smaller than the sum of its proper divisors (36338616).

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

19680984 is a wasteful number, since it uses less digits than its factorization.

19680984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 19680984 is about 4436.3255065425. The cubic root of 19680984 is about 269.9907815783.

The spelling of 19680984 in words is "nineteen million, six hundred eighty thousand, nine hundred eighty-four".