6585560 has 32 divisors (see below), whose sum is σ = 15066000. Its totient is φ = 2590080.

The previous prime is 6585559. The next prime is 6585569. The reversal of 6585560 is 655856.

It is a self number, because there is not a number n which added to its sum of digits gives 6585560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6585569) 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, 1091 + ... + 3789.

Almost surely, 2^6585560 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 6585560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533000).

6585560 is an abundant number, since it is smaller than the sum of its proper divisors (8480440).

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

6585560 is a wasteful number, since it uses less digits than its factorization.

6585560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The square root of 6585560 is about 2566.2345956674. The cubic root of 6585560 is about 187.4408465251.

The spelling of 6585560 in words is "six million, five hundred eighty-five thousand, five hundred sixty".