16968384 has 84 divisors (see below), whose sum is σ = 49331880. Its totient is φ = 5575680.

The previous prime is 16968379. The next prime is 16968401. The reversal of 16968384 is 48386961.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51099 + ... + 51429.

Almost surely, 2^16968384 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 16968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24665940).

16968384 is an abundant number, since it is smaller than the sum of its proper divisors (32363496).

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

16968384 is a wasteful number, since it uses less digits than its factorization.

16968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 16968384 is about 4119.2698382116. The cubic root of 16968384 is about 256.9686608568.

The spelling of 16968384 in words is "sixteen million, nine hundred sixty-eight thousand, three hundred eighty-four".