6004128 has 96 divisors (see below), whose sum is σ = 18035136. Its totient is φ = 1732608.

The previous prime is 6004121. The next prime is 6004139. The reversal of 6004128 is 8214006.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004121) 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, 21075 + ... + 21357.

It is an arithmetic number, because the mean of its divisors is an integer number (187866).

Almost surely, 2^6004128 is an apocalyptic number.

6004128 is a gapful number since it is divisible by the number (68) 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 6004128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9017568).

6004128 is an abundant number, since it is smaller than the sum of its proper divisors (12031008).

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

6004128 is a wasteful number, since it uses less digits than its factorization.

6004128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 6004128 is about 2450.3322223731. The cubic root of 6004128 is about 181.7537223622.

The spelling of 6004128 in words is "six million, four thousand, one hundred twenty-eight".