16682688 has 84 divisors (see below), whose sum is σ = 52184808. Its totient is φ = 5053440.

The previous prime is 16682683. The next prime is 16682693. The reversal of 16682688 is 88628661.

It is an interprime number because it is at equal distance from previous prime (16682683) and next prime (16682693).

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

It is not an unprimeable number, because it can be changed into a prime (16682683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5020 + ... + 7652.

Almost surely, 2^16682688 is an apocalyptic number.

16682688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16682688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26092404).

16682688 is an abundant number, since it is smaller than the sum of its proper divisors (35502120).

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

16682688 is a wasteful number, since it uses less digits than its factorization.

16682688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2649 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 16682688 is about 4084.4446378914. Note that the first 3 decimals coincide. The cubic root of 16682688 is about 255.5182999110.

It can be divided in two parts, 1668 and 2688, that added together give a square (4356 = 66²).

The spelling of 16682688 in words is "sixteen million, six hundred eighty-two thousand, six hundred eighty-eight".