5607824 has 40 divisors (see below), whose sum is σ = 11751480. Its totient is φ = 2582528.

The previous prime is 5607779. The next prime is 5607827. The reversal of 5607824 is 4287065.

It can be written as a sum of positive squares in 4 ways, for example, as 1364224 + 4243600 = 1168^2 + 2060^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5607827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14222 + ... + 14610.

It is an arithmetic number, because the mean of its divisors is an integer number (293787).

Almost surely, 2^5607824 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 5607824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875740).

5607824 is an abundant number, since it is smaller than the sum of its proper divisors (6143656).

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

5607824 is a wasteful number, since it uses less digits than its factorization.

5607824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 5607824 is about 2368.0844579533. The cubic root of 5607824 is about 177.6634637785.

The spelling of 5607824 in words is "five million, six hundred seven thousand, eight hundred twenty-four".