16816384 has 72 divisors (see below), whose sum is σ = 37544192. Its totient is φ = 7464960.

The previous prime is 16816369. The next prime is 16816403. The reversal of 16816384 is 48361861.

It is a super-3 number, since 3×16816384³ (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103087 + ... + 103249.

Almost surely, 2^16816384 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 16816384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772096).

16816384 is an abundant number, since it is smaller than the sum of its proper divisors (20727808).

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

16816384 is a wasteful number, since it uses less digits than its factorization.

16816384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 16816384 is about 4100.7784626824. The cubic root of 16816384 is about 256.1990639191.

The spelling of 16816384 in words is "sixteen million, eight hundred sixteen thousand, three hundred eighty-four".