5586336 has 144 divisors (see below), whose sum is σ = 19341504. Its totient is φ = 1492992.

The previous prime is 5586313. The next prime is 5586337. The reversal of 5586336 is 6336855.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5⁹ + 5⁹ + 8 + 6³ + 3 + 3⁵ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 5586336.

It is not an unprimeable number, because it can be changed into a prime (5586337) 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 23 ways as a sum of consecutive naturals, for example, 34191 + ... + 34353.

It is an arithmetic number, because the mean of its divisors is an integer number (134316).

Almost surely, 2^5586336 is an apocalyptic number.

5586336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5586336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9670752).

5586336 is an abundant number, since it is smaller than the sum of its proper divisors (13755168).

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

5586336 is a wasteful number, since it uses less digits than its factorization.

5586336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 5586336 is about 2363.5431030552. The cubic root of 5586336 is about 177.4362503331.

The spelling of 5586336 in words is "five million, five hundred eighty-six thousand, three hundred thirty-six".