16800384 has 64 divisors (see below), whose sum is σ = 45361440. Its totient is φ = 5508096.

The previous prime is 16800383. The next prime is 16800397. The reversal of 16800384 is 48300861.

It is a happy number.

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 (16800383) 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, 25402 + ... + 26054.

Almost surely, 2^16800384 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 16800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680720).

16800384 is an abundant number, since it is smaller than the sum of its proper divisors (28561056).

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

16800384 is an equidigital number, since it uses as much as digits as its factorization.

16800384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 16800384 is about 4098.8271493197. The cubic root of 16800384 is about 256.1177843414.

The spelling of 16800384 in words is "sixteen million, eight hundred thousand, three hundred eighty-four".