2006568 has 72 divisors (see below), whose sum is σ = 5809050. Its totient is φ = 624960.

The previous prime is 2006549. The next prime is 2006573. The reversal of 2006568 is 8656002.

2006568 is a `hidden beast` number, since 2 + 0 + 0 + 656 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1695204 + 311364 = 1302^2 + 558^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 64713 + ... + 64743.

2^2006568 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 2006568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904525).

2006568 is an abundant number, since it is smaller than the sum of its proper divisors (3802482).

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

2006568 is a wasteful number, since it uses less digits than its factorization.

2006568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2006568 is about 1416.5337976907. The cubic root of 2006568 is about 126.1298736462.

The spelling of 2006568 in words is "two million, six thousand, five hundred sixty-eight".