5938304 has 32 divisors (see below), whose sum is σ = 12530700. Its totient is φ = 2793472.

The previous prime is 5938297. The next prime is 5938307. The reversal of 5938304 is 4038395.

It can be written as a sum of positive squares in 2 ways, for example, as 4840000 + 1098304 = 2200^2 + 1048^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5938307) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 812 + ... + 3540.

Almost surely, 2^5938304 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 5938304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265350).

5938304 is an abundant number, since it is smaller than the sum of its proper divisors (6592396).

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

5938304 is a wasteful number, since it uses less digits than its factorization.

5938304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 5938304 is about 2436.8635579367. The cubic root of 5938304 is about 181.0870840474.

The spelling of 5938304 in words is "five million, nine hundred thirty-eight thousand, three hundred four".