5309824 has 32 divisors (see below), whose sum is σ = 11395440. Its totient is φ = 2449920.

The previous prime is 5309819. The next prime is 5309839. The reversal of 5309824 is 4289035.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69 + ... + 3259.

Almost surely, 2^5309824 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 5309824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697720).

5309824 is an abundant number, since it is smaller than the sum of its proper divisors (6085616).

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

5309824 is a wasteful number, since it uses less digits than its factorization.

5309824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 5309824 is about 2304.3055352969. The cubic root of 5309824 is about 174.4589986399.

The spelling of 5309824 in words is "five million, three hundred nine thousand, eight hundred twenty-four".