2008008 has 36 divisors (see below), whose sum is σ = 5471115. Its totient is φ = 665328.

The previous prime is 2008003. The next prime is 2008033. The reversal of 2008008 is 8008002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1004004 + 1004004 = 1002^2 + 1002^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1002.

It is a super-2 number, since 2×2008008² = 8064192256128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2008003) 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 8 ways as a sum of consecutive naturals, for example, 11941 + ... + 12107.

2^2008008 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 2008008

2008008 is an abundant number, since it is smaller than the sum of its proper divisors (3463107).

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

2008008 is a wasteful number, since it uses less digits than its factorization.

2008008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2008008 is about 1417.0419894978. The cubic root of 2008008 is about 126.1600385160.

Multiplying 2008008 by its sum of digits (18), we get a square (36144144 = 6012²).

2008008 divided by its sum of digits (18) gives a square (111556 = 334²).

Multiplying 2008008 by its product of nonzero digits (128), we get a square (257025024 = 16032²).

Multiplying 2008008 by its reverse (8008002), we get a square (16080132080016 = 4010004²).

The spelling of 2008008 in words is "two million, eight thousand, eight".