6580672 has 56 divisors (see below), whose sum is σ = 15365984. Its totient is φ = 2737152.

The previous prime is 6580667. The next prime is 6580681. The reversal of 6580672 is 2760856.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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, 16378 + ... + 16774.

Almost surely, 2^6580672 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 6580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682992).

6580672 is an abundant number, since it is smaller than the sum of its proper divisors (8785312).

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

6580672 is a wasteful number, since it uses less digits than its factorization.

6580672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 6580672 is about 2565.2820507695. The cubic root of 6580672 is about 187.3944603088.

The spelling of 6580672 in words is "six million, five hundred eighty thousand, six hundred seventy-two".