6585664 has 28 divisors (see below), whose sum is σ = 13839444. Its totient is φ = 3098624.

The previous prime is 6585661. The next prime is 6585673. The reversal of 6585664 is 4665856.

It can be written as a sum of positive squares in 2 ways, for example, as 2585664 + 4000000 = 1608^2 + 2000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6585661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1939 + ... + 4114.

Almost surely, 2^6585664 is an apocalyptic number.

6585664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6585664 is an abundant number, since it is smaller than the sum of its proper divisors (7253780).

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

6585664 is a wasteful number, since it uses less digits than its factorization.

6585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6082 (or 6072 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The square root of 6585664 is about 2566.2548587387. The cubic root of 6585664 is about 187.4418332165.

The spelling of 6585664 in words is "six million, five hundred eighty-five thousand, six hundred sixty-four".