16788384 has 144 divisors (see below), whose sum is σ = 52835328. Its totient is φ = 5225472.

The previous prime is 16788383. The next prime is 16788389. The reversal of 16788384 is 48388761.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (16788383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132129 + ... + 132255.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 2^16788384 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 16788384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

16788384 is an abundant number, since it is smaller than the sum of its proper divisors (36046944).

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

16788384 is a wasteful number, since it uses less digits than its factorization.

16788384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 16788384 is about 4097.3630544534. The cubic root of 16788384 is about 256.0567907861.

The spelling of 16788384 in words is "sixteen million, seven hundred eighty-eight thousand, three hundred eighty-four".