6580640 has 48 divisors (see below), whose sum is σ = 16964640. Its totient is φ = 2392320.

The previous prime is 6580633. The next prime is 6580643. The reversal of 6580640 is 460856.

It is not an unprimeable number, because it can be changed into a prime (6580643) 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, 110 + ... + 3629.

It is an arithmetic number, because the mean of its divisors is an integer number (353430).

Almost surely, 2^6580640 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 6580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482320).

6580640 is an abundant number, since it is smaller than the sum of its proper divisors (10384000).

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

6580640 is a wasteful number, since it uses less digits than its factorization.

6580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 6580640 is about 2565.2758136310. The cubic root of 6580640 is about 187.3941565591.

The spelling of 6580640 in words is "six million, five hundred eighty thousand, six hundred forty".