909868960 has 576 divisors, whose sum is σ = 3187537920. Its totient is φ = 237219840.

The previous prime is 909868931. The next prime is 909869041. The reversal of 909868960 is 69868909.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39559509 + ... + 39559531.

It is an arithmetic number, because the mean of its divisors is an integer number (5533920).

Almost surely, 2^909868960 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 909868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593768960).

909868960 is an abundant number, since it is smaller than the sum of its proper divisors (2277668960).

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

909868960 is a wasteful number, since it uses less digits than its factorization.

909868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 55.

The square root of 909868960 is about 30164.0342129497. The cubic root of 909868960 is about 969.0055916093.

The spelling of 909868960 in words is "nine hundred nine million, eight hundred sixty-eight thousand, nine hundred sixty".