5807424 has 112 divisors (see below), whose sum is σ = 18288000. Its totient is φ = 1591296.

The previous prime is 5807423. The next prime is 5807467. The reversal of 5807424 is 4247085.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 5807391 and 5807400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5807423) 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, 38902 + ... + 39050.

Almost surely, 2^5807424 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 5807424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144000).

5807424 is an abundant number, since it is smaller than the sum of its proper divisors (12480576).

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

5807424 is a wasteful number, since it uses less digits than its factorization.

5807424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 5807424 is about 2409.8597469562. The cubic root of 5807424 is about 179.7468045055.

Subtracting from 5807424 its product of nonzero digits (8960), we obtain a square (5798464 = 2408²).

The spelling of 5807424 in words is "five million, eight hundred seven thousand, four hundred twenty-four".