5309856 has 72 divisors (see below), whose sum is σ = 15331680. Its totient is φ = 1742976.

The previous prime is 5309851. The next prime is 5309861. The reversal of 5309856 is 6589035.

It is an interprime number because it is at equal distance from previous prime (5309851) and next prime (5309861).

It is a tau number, because it is divible by the number of its divisors (72).

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 5309856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5309851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29575 + ... + 29753.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 2^5309856 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 5309856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665840).

5309856 is an abundant number, since it is smaller than the sum of its proper divisors (10021824).

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

5309856 is a wasteful number, since it uses less digits than its factorization.

5309856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5309856 is about 2304.3124788101. The cubic root of 5309856 is about 174.4593491021.

The spelling of 5309856 in words is "five million, three hundred nine thousand, eight hundred fifty-six".