1009107216 has 240 divisors, whose sum is σ = 3311131824. Its totient is φ = 284000256.

The previous prime is 1009107181. The next prime is 1009107223. The reversal of 1009107216 is 6127019001.

It can be written as a sum of positive squares in 8 ways, for example, as 179667216 + 829440000 = 13404^2 + 28800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1009107216.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1177060 + ... + 1177916.

Almost surely, 2^1009107216 is an apocalyptic number.

1009107216 is a gapful number since it is divisible by the number (16) 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 1009107216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655565912).

1009107216 is an abundant number, since it is smaller than the sum of its proper divisors (2302024608).

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

1009107216 is a wasteful number, since it uses less digits than its factorization.

1009107216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1009107216 is about 31766.4479600726. The cubic root of 1009107216 is about 1003.0265693037.

The spelling of 1009107216 in words is "one billion, nine million, one hundred seven thousand, two hundred sixteen".