19680384 has 64 divisors (see below), whose sum is σ = 53317440. Its totient is φ = 6429696.

The previous prime is 19680383. The next prime is 19680389. The reversal of 19680384 is 48308691.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (19680383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19869 + ... + 20835.

It is an arithmetic number, because the mean of its divisors is an integer number (833085).

Almost surely, 2^19680384 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 19680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658720).

19680384 is an abundant number, since it is smaller than the sum of its proper divisors (33637056).

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

19680384 is an equidigital number, since it uses as much as digits as its factorization.

19680384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 19680384 is about 4436.2578824951. The cubic root of 19680384 is about 269.9880378788.

The spelling of 19680384 in words is "nineteen million, six hundred eighty thousand, three hundred eighty-four".