10006008 has 32 divisors (see below), whose sum is σ = 26332800. Its totient is φ = 3159648.

The previous prime is 10006001. The next prime is 10006039. The reversal of 10006008 is 80060001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10516 + ... + 11427.

It is an arithmetic number, because the mean of its divisors is an integer number (822900).

Almost surely, 2^10006008 is an apocalyptic number.

It is an amenable number.

10006008 is an abundant number, since it is smaller than the sum of its proper divisors (16326792).

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

10006008 is a wasteful number, since it uses less digits than its factorization.

10006008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21971 (or 21967 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10006008 is about 3163.2274657381. The cubic root of 10006008 is about 215.4866065107.

Adding to 10006008 its reverse (80060001), we get a palindrome (90066009).

The spelling of 10006008 in words is "ten million, six thousand, eight".