6338304 has 144 divisors (see below), whose sum is σ = 21584640. Its totient is φ = 1797120.

The previous prime is 6338287. The next prime is 6338309. The reversal of 6338304 is 4038336.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6338309) 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, 48319 + ... + 48449.

Almost surely, 2^6338304 is an apocalyptic number.

6338304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10792320).

6338304 is an abundant number, since it is smaller than the sum of its proper divisors (15246336).

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

6338304 is a wasteful number, since it uses less digits than its factorization.

6338304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6338304 is about 2517.5988560531. The cubic root of 6338304 is about 185.0650270552.

Subtracting from 6338304 its reverse (4038336), we obtain a cube (2299968 = 132³).

The spelling of 6338304 in words is "six million, three hundred thirty-eight thousand, three hundred four".