6005064 has 64 divisors (see below), whose sum is σ = 17035200. Its totient is φ = 1748736.

The previous prime is 6005039. The next prime is 6005101. The reversal of 6005064 is 4605006.

6005064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 6005064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5422 + ... + 6434.

It is an arithmetic number, because the mean of its divisors is an integer number (266175).

Almost surely, 2^6005064 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 6005064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517600).

6005064 is an abundant number, since it is smaller than the sum of its proper divisors (11030136).

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

6005064 is a wasteful number, since it uses less digits than its factorization.

6005064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 6005064 is about 2450.5232094392. The cubic root of 6005064 is about 181.7631665671.

The spelling of 6005064 in words is "six million, five thousand, sixty-four".