6680128 has 112 divisors (see below), whose sum is σ = 17296384. Its totient is φ = 2488320.

The previous prime is 6680123. The next prime is 6680137. The reversal of 6680128 is 8210866.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×6680128² = 89248220192768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 6680128.

It is not an unprimeable number, because it can be changed into a prime (6680123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180526 + ... + 180562.

It is an arithmetic number, because the mean of its divisors is an integer number (154432).

Almost surely, 2^6680128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648192).

6680128 is an abundant number, since it is smaller than the sum of its proper divisors (10616256).

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

6680128 is a wasteful number, since it uses less digits than its factorization.

6680128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 6680128 is about 2584.5943588888. The cubic root of 6680128 is about 188.3337966070. Note that the first 3 decimals are identical.

The spelling of 6680128 in words is "six million, six hundred eighty thousand, one hundred twenty-eight".