19963680 has 192 divisors, whose sum is σ = 72576000. Its totient is φ = 4561920.

The previous prime is 19963663. The next prime is 19963703. The reversal of 19963680 is 8636991.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100221 + ... + 100419.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^19963680 is an apocalyptic number.

19963680 is a gapful number since it is divisible by the number (10) 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 19963680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

19963680 is an abundant number, since it is smaller than the sum of its proper divisors (52612320).

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

19963680 is a wasteful number, since it uses less digits than its factorization.

19963680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 19963680 is about 4468.0734103190. The cubic root of 19963680 is about 271.2773493486.

The spelling of 19963680 in words is "nineteen million, nine hundred sixty-three thousand, six hundred eighty".