16682112 has 80 divisors (see below), whose sum is σ = 49676550. Its totient is φ = 5557248.

The previous prime is 16682111. The next prime is 16682137. The reversal of 16682112 is 21128661.

It can be written as a sum of positive squares in only one way, i.e., 9585216 + 7096896 = 3096^2 + 2664^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (16682111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9564 + ... + 11172.

Almost surely, 2^16682112 is an apocalyptic number.

16682112 is a gapful number since it is divisible by the number (12) 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 16682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24838275).

16682112 is an abundant number, since it is smaller than the sum of its proper divisors (32994438).

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

16682112 is an equidigital number, since it uses as much as digits as its factorization.

16682112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1614 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 16682112 is about 4084.3741258607. The cubic root of 16682112 is about 255.5153591333.

The spelling of 16682112 in words is "sixteen million, six hundred eighty-two thousand, one hundred twelve".