1002008 has 32 divisors (see below), whose sum is σ = 2224800. Its totient is φ = 413952.

The previous prime is 1001989. The next prime is 1002017. The reversal of 1002008 is 8002001.

It is a self number, because there is not a number n which added to its sum of digits gives 1002008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1316 + ... + 1932.

It is an arithmetic number, because the mean of its divisors is an integer number (69525).

2^1002008 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 1002008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112400).

1002008 is an abundant number, since it is smaller than the sum of its proper divisors (1222792).

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

1002008 is a wasteful number, since it uses less digits than its factorization.

1002008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1002008 is about 1001.0034964974. The cubic root of 1002008 is about 100.0668885825.

Adding to 1002008 its reverse (8002001), we get a palindrome (9004009).

The spelling of 1002008 in words is "one million, two thousand, eight".