16683680 has 72 divisors (see below), whose sum is σ = 42749532. Its totient is φ = 6150144.

The previous prime is 16683677. The next prime is 16683697. The reversal of 16683680 is 8638661.

16683680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4624 + 16679056 = 68^2 + 4084^2 .

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, 26732 + ... + 27348.

Almost surely, 2^16683680 is an apocalyptic number.

16683680 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 16683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21374766).

16683680 is an abundant number, since it is smaller than the sum of its proper divisors (26065852).

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

16683680 is a wasteful number, since it uses less digits than its factorization.

16683680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 16683680 is about 4084.5660724243. The cubic root of 16683680 is about 255.5233644252.

The spelling of 16683680 in words is "sixteen million, six hundred eighty-three thousand, six hundred eighty".