1009109868 has 96 divisors (see below), whose sum is σ = 2777664960. Its totient is φ = 282132480.

The previous prime is 1009109833. The next prime is 1009109891. The reversal of 1009109868 is 8689019001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70348 + ... + 83468.

It is an arithmetic number, because the mean of its divisors is an integer number (28934010).

Almost surely, 2^1009109868 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 1009109868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388832480).

1009109868 is an abundant number, since it is smaller than the sum of its proper divisors (1768555092).

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

1009109868 is a wasteful number, since it uses less digits than its factorization.

1009109868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13187 (or 13185 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 1009109868 is about 31766.4897022003. The cubic root of 1009109868 is about 1003.0274479761.

The spelling of 1009109868 in words is "one billion, nine million, one hundred nine thousand, eight hundred sixty-eight".