6004064 has 48 divisors (see below), whose sum is σ = 13272336. Its totient is φ = 2649600.

The previous prime is 6004021. The next prime is 6004067. The reversal of 6004064 is 4604006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12794 + ... + 13254.

It is an arithmetic number, because the mean of its divisors is an integer number (276507).

Almost surely, 2^6004064 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 6004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636168).

6004064 is an abundant number, since it is smaller than the sum of its proper divisors (7268272).

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

6004064 is a wasteful number, since it uses less digits than its factorization.

6004064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 6004064 is about 2450.3191628847. The cubic root of 6004064 is about 181.7530765688.

It can be divided in two parts, 600 and 4064, that added together give a palindrome (4664).

The spelling of 6004064 in words is "six million, four thousand, sixty-four", and thus it is an eban number.