1009666944 has 384 divisors, whose sum is σ = 3555377280. Its totient is φ = 281180160.

The previous prime is 1009666921. The next prime is 1009666951. The reversal of 1009666944 is 4496669001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1009666944.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4447759 + ... + 4447985.

It is an arithmetic number, because the mean of its divisors is an integer number (9258795).

Almost surely, 2^1009666944 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 1009666944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777688640).

1009666944 is an abundant number, since it is smaller than the sum of its proper divisors (2545710336).

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

1009666944 is a wasteful number, since it uses less digits than its factorization.

1009666944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1009666944 is about 31775.2567888916. The cubic root of 1009666944 is about 1003.2119867618.

The spelling of 1009666944 in words is "one billion, nine million, six hundred sixty-six thousand, nine hundred forty-four".