1008985068 has 216 divisors, whose sum is σ = 3335780448. Its totient is φ = 254403072.

The previous prime is 1008985007. The next prime is 1008985099. The reversal of 1008985068 is 8605898001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 526480 + ... + 528392.

It is an arithmetic number, because the mean of its divisors is an integer number (15443428).

Almost surely, 2^1008985068 is an apocalyptic number.

1008985068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008985068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667890224).

1008985068 is an abundant number, since it is smaller than the sum of its proper divisors (2326795380).

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

1008985068 is a wasteful number, since it uses less digits than its factorization.

1008985068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1008985068 is about 31764.5253073299. The cubic root of 1008985068 is about 1002.9860970158.

The spelling of 1008985068 in words is "one billion, eight million, nine hundred eighty-five thousand, sixty-eight".