16679840 has 48 divisors (see below), whose sum is σ = 40075560. Its totient is φ = 6558720.

The previous prime is 16679833. The next prime is 16679849. The reversal of 16679840 is 4897661.

16679840 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 4 ways, for example, as 5895184 + 10784656 = 2428^2 + 3284^2 .

It is not an unprimeable number, because it can be changed into a prime (16679849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8906 + ... + 10614.

Almost surely, 2^16679840 is an apocalyptic number.

16679840 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 16679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20037780).

16679840 is an abundant number, since it is smaller than the sum of its proper divisors (23395720).

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

16679840 is a wasteful number, since it uses less digits than its factorization.

16679840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 16679840 is about 4084.0959832012. The cubic root of 16679840 is about 255.5037587385.

The spelling of 16679840 in words is "sixteen million, six hundred seventy-nine thousand, eight hundred forty".