16879968 has 96 divisors (see below), whose sum is σ = 56286720. Its totient is φ = 4821120.

The previous prime is 16879939. The next prime is 16879969. The reversal of 16879968 is 86997861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16879969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4653 + ... + 7443.

It is an arithmetic number, because the mean of its divisors is an integer number (586320).

Almost surely, 2^16879968 is an apocalyptic number.

16879968 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 16879968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28143360).

16879968 is an abundant number, since it is smaller than the sum of its proper divisors (39406752).

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

16879968 is a wasteful number, since it uses less digits than its factorization.

16879968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2803 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 16879968 is about 4108.5238224939. The cubic root of 16879968 is about 256.5215603777.

The spelling of 16879968 in words is "sixteen million, eight hundred seventy-nine thousand, nine hundred sixty-eight".