5806304 has 72 divisors (see below), whose sum is σ = 13935600. Its totient is φ = 2380224.

The previous prime is 5806301. The next prime is 5806319. The reversal of 5806304 is 4036085.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×5806304² = 67426332280832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5806301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252437 + ... + 252459.

It is an arithmetic number, because the mean of its divisors is an integer number (193550).

Almost surely, 2^5806304 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 5806304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967800).

5806304 is an abundant number, since it is smaller than the sum of its proper divisors (8129296).

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

5806304 is an equidigital number, since it uses as much as digits as its factorization.

5806304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5806304 is about 2409.6273570824. The cubic root of 5806304 is about 179.7352486439.

The spelling of 5806304 in words is "five million, eight hundred six thousand, three hundred four".