5309568 has 96 divisors (see below), whose sum is σ = 16707600. Its totient is φ = 1605120.

The previous prime is 5309539. The next prime is 5309599. The reversal of 5309568 is 8659035.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12463 + ... + 12881.

Almost surely, 2^5309568 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 5309568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353800).

5309568 is an abundant number, since it is smaller than the sum of its proper divisors (11398032).

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

5309568 is a wasteful number, since it uses less digits than its factorization.

5309568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 435 counting only the distinct ones).

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

The square root of 5309568 is about 2304.2499864381. The cubic root of 5309568 is about 174.4561948922.

The spelling of 5309568 in words is "five million, three hundred nine thousand, five hundred sixty-eight".