6586880 has 80 divisors (see below), whose sum is σ = 16498944. Its totient is φ = 2519040.

The previous prime is 6586873. The next prime is 6586889. The reversal of 6586880 is 886856.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (6586889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 79319 + ... + 79401.

Almost surely, 2^6586880 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 6586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249472).

6586880 is an abundant number, since it is smaller than the sum of its proper divisors (9912064).

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

6586880 is an equidigital number, since it uses as much as digits as its factorization.

6586880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 6586880 is about 2566.4917689328. The cubic root of 6586880 is about 187.4533691447.

The spelling of 6586880 in words is "six million, five hundred eighty-six thousand, eight hundred eighty".