6006304 has 48 divisors (see below), whose sum is σ = 12796056. Its totient is φ = 2764800.

The previous prime is 6006293. The next prime is 6006313. The reversal of 6006304 is 4036006.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 3610000 = 1548^2 + 1900^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33094 + ... + 33274.

Almost surely, 2^6006304 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 6006304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398028).

6006304 is an abundant number, since it is smaller than the sum of its proper divisors (6789752).

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

6006304 is a wasteful number, since it uses less digits than its factorization.

6006304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 6006304 is about 2450.7762035731. The cubic root of 6006304 is about 181.7756766094.

The spelling of 6006304 in words is "six million, six thousand, three hundred four".