5338656 has 96 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 1721088.

The previous prime is 5338649. The next prime is 5338657. The reversal of 5338656 is 6568335.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5338656.

It is not an unprimeable number, because it can be changed into a prime (5338657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31885 + ... + 32051.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

Almost surely, 2^5338656 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 5338656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043840).

5338656 is an abundant number, since it is smaller than the sum of its proper divisors (10749024).

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

5338656 is a wasteful number, since it uses less digits than its factorization.

5338656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

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

The square root of 5338656 is about 2310.5531805176. The cubic root of 5338656 is about 174.7741958429.

The spelling of 5338656 in words is "five million, three hundred thirty-eight thousand, six hundred fifty-six".