5585664 has 72 divisors (see below), whose sum is σ = 17006080. Its totient is φ = 1594368.

The previous prime is 5585663. The next prime is 5585683. The reversal of 5585664 is 4665855.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5585663) 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, 4857 + ... + 5895.

Almost surely, 2^5585664 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 5585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503040).

5585664 is an abundant number, since it is smaller than the sum of its proper divisors (11420416).

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

5585664 is a wasteful number, since it uses less digits than its factorization.

5585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1051 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 5585664 is about 2363.4009393245. The cubic root of 5585664 is about 177.4291352376.

The spelling of 5585664 in words is "five million, five hundred eighty-five thousand, six hundred sixty-four".