909216 has 144 divisors (see below), whose sum is σ = 3302208. Its totient is φ = 230400.

The previous prime is 909203. The next prime is 909217. The reversal of 909216 is 612909.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 909216.

It is not an unprimeable number, because it can be changed into a prime (909217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22156 + ... + 22196.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2⁹⁰⁹²¹⁶ is an apocalyptic number.

909216 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 909216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104).

909216 is an abundant number, since it is smaller than the sum of its proper divisors (2392992).

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

909216 is a wasteful number, since it uses less digits than its factorization.

909216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 909216 is about 953.5281852153. The cubic root of 909216 is about 96.8773736498.

The spelling of 909216 in words is "nine hundred nine thousand, two hundred sixteen".