6304000 has 72 divisors (see below), whose sum is σ = 15783768. Its totient is φ = 2508800.

The previous prime is 6303989. The next prime is 6304003. The reversal of 6304000 is 4036.

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 6230016 = 272^2 + 2496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6304003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31902 + ... + 32098.

It is an arithmetic number, because the mean of its divisors is an integer number (219219).

Almost surely, 2^6304000 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 6304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891884).

6304000 is an abundant number, since it is smaller than the sum of its proper divisors (9479768).

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

6304000 is an equidigital number, since it uses as much as digits as its factorization.

6304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 6304000 is about 2510.7767722360. The cubic root of 6304000 is about 184.7305549179.

Adding to 6304000 its reverse (4036), we get a palindrome (6308036).

The spelling of 6304000 in words is "six million, three hundred four thousand".