5585688 has 48 divisors (see below), whose sum is σ = 15790320. Its totient is φ = 1780416.

The previous prime is 5585683. The next prime is 5585693. The reversal of 5585688 is 8865855.

5585688 is a `hidden beast` number, since 5 + 585 + 68 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5585683) and next prime (5585693).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5585683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31 + ... + 3342.

It is an arithmetic number, because the mean of its divisors is an integer number (328965).

Almost surely, 2^5585688 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 5585688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7895160).

5585688 is an abundant number, since it is smaller than the sum of its proper divisors (10204632).

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

5585688 is a wasteful number, since it uses less digits than its factorization.

5585688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3401 counting only the distinct ones).

The product of its digits is 384000, while the sum is 45.

The square root of 5585688 is about 2363.4060167479. The cubic root of 5585688 is about 177.4293893580.

The spelling of 5585688 in words is "five million, five hundred eighty-five thousand, six hundred eighty-eight".