16682640 has 80 divisors (see below), whose sum is σ = 55704768. Its totient is φ = 4105728.

The previous prime is 16682629. The next prime is 16682647. The reversal of 16682640 is 4628661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16682647) 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 15 ways as a sum of consecutive naturals, for example, 447 + ... + 5793.

Almost surely, 2^16682640 is an apocalyptic number.

16682640 is a gapful number since it is divisible by the number (10) 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 16682640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27852384).

16682640 is an abundant number, since it is smaller than the sum of its proper divisors (39022128).

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

16682640 is a wasteful number, since it uses less digits than its factorization.

16682640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 16682640 is about 4084.4387619354. The cubic root of 16682640 is about 255.5180548488.

The spelling of 16682640 in words is "sixteen million, six hundred eighty-two thousand, six hundred forty".