16879680 has 84 divisors (see below), whose sum is σ = 58068972. Its totient is φ = 4500480.

The previous prime is 16879669. The next prime is 16879699. The reversal of 16879680 is 8697861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6843456 + 10036224 = 2616^2 + 3168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51 + ... + 5810.

Almost surely, 2^16879680 is an apocalyptic number.

16879680 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 16879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29034486).

16879680 is an abundant number, since it is smaller than the sum of its proper divisors (41189292).

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

16879680 is a wasteful number, since it uses less digits than its factorization.

16879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 16879680 is about 4108.4887732596. The cubic root of 16879680 is about 256.5201014763.

The spelling of 16879680 in words is "sixteen million, eight hundred seventy-nine thousand, six hundred eighty".