909189216 has 144 divisors (see below), whose sum is σ = 2931168240. Its totient is φ = 265006080.

The previous prime is 909189199. The next prime is 909189247. The reversal of 909189216 is 612981909.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64746 + ... + 77526.

It is an arithmetic number, because the mean of its divisors is an integer number (20355335).

Almost surely, 2^909189216 is an apocalyptic number.

909189216 is a gapful number since it is divisible by the number (96) 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 909189216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465584120).

909189216 is an abundant number, since it is smaller than the sum of its proper divisors (2021979024).

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

909189216 is a wasteful number, since it uses less digits than its factorization.

909189216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12829 (or 12818 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 909189216 is about 30152.7646493651. The cubic root of 909189216 is about 968.7642235803.

The spelling of 909189216 in words is "nine hundred nine million, one hundred eighty-nine thousand, two hundred sixteen".