6005304 has 24 divisors (see below), whose sum is σ = 16264560. Its totient is φ = 2001744.

The previous prime is 6005303. The next prime is 6005309. The reversal of 6005304 is 4035006.

It is a happy number.

6005304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×6005304² = 72127352264832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41632 + ... + 41775.

It is an arithmetic number, because the mean of its divisors is an integer number (677690).

Almost surely, 2^6005304 is an apocalyptic number.

It is an amenable number.

6005304 is an abundant number, since it is smaller than the sum of its proper divisors (10259256).

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

6005304 is a wasteful number, since it uses less digits than its factorization.

6005304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83419 (or 83412 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 6005304 is about 2450.5721780841. The cubic root of 6005304 is about 181.7655880000.

The spelling of 6005304 in words is "six million, five thousand, three hundred four".