6682880 has 72 divisors (see below), whose sum is σ = 16777152. Its totient is φ = 2545664.

The previous prime is 6682861. The next prime is 6682901. The reversal of 6682880 is 882866.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29327 + ... + 29553.

It is an arithmetic number, because the mean of its divisors is an integer number (233016).

Almost surely, 2^6682880 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 6682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388576).

6682880 is an abundant number, since it is smaller than the sum of its proper divisors (10094272).

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

6682880 is a wasteful number, since it uses less digits than its factorization.

6682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 6682880 is about 2585.1266893520. The cubic root of 6682880 is about 188.3596555651.

The spelling of 6682880 in words is "six million, six hundred eighty-two thousand, eight hundred eighty".