16684880 has 40 divisors (see below), whose sum is σ = 39337512. Its totient is φ = 6580224.

The previous prime is 16684853. The next prime is 16684883. The reversal of 16684880 is 8848661.

It can be written as a sum of positive squares in 4 ways, for example, as 3083536 + 13601344 = 1756^2 + 3688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×16684880² = 556770441228800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16684883) 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, 4412 + ... + 7268.

Almost surely, 2^16684880 is an apocalyptic number.

16684880 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 16684880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19668756).

16684880 is an abundant number, since it is smaller than the sum of its proper divisors (22652632).

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

16684880 is a wasteful number, since it uses less digits than its factorization.

16684880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 16684880 is about 4084.7129642118. The cubic root of 16684880 is about 255.5294905854.

The spelling of 16684880 in words is "sixteen million, six hundred eighty-four thousand, eight hundred eighty".