6005664 has 120 divisors (see below), whose sum is σ = 20246688. Its totient is φ = 1710720.

The previous prime is 6005663. The next prime is 6005687. The reversal of 6005664 is 4665006.

6005664 is a `hidden beast` number, since 600 + 56 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005663) 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 19 ways as a sum of consecutive naturals, for example, 17979 + ... + 18309.

Almost surely, 2^6005664 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 6005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10123344).

6005664 is an abundant number, since it is smaller than the sum of its proper divisors (14241024).

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

6005664 is a wasteful number, since it uses less digits than its factorization.

6005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6005664 is about 2450.6456292169. The cubic root of 6005664 is about 181.7692200284.

The spelling of 6005664 in words is "six million, five thousand, six hundred sixty-four".