909803664 has 280 divisors, whose sum is σ = 3298306752. Its totient is φ = 236079360.

The previous prime is 909803647. The next prime is 909803669. The reversal of 909803664 is 466308909.

It is not an unprimeable number, because it can be changed into a prime (909803669) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 897622 + ... + 898634.

Almost surely, 2^909803664 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 909803664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649153376).

909803664 is an abundant number, since it is smaller than the sum of its proper divisors (2388503088).

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

909803664 is a wasteful number, since it uses less digits than its factorization.

909803664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1036 counting only the distinct ones).

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

The square root of 909803664 is about 30162.9518449372. The cubic root of 909803664 is about 968.9824110908.

The spelling of 909803664 in words is "nine hundred nine million, eight hundred three thousand, six hundred sixty-four".