809216 has 36 divisors (see below), whose sum is σ = 1686300. Its totient is φ = 387072.

The previous prime is 809213. The next prime is 809231. The reversal of 809216 is 612908.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 313600 = 704^2 + 560^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7370 + ... + 7478.

2⁸⁰⁹²¹⁶ 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 809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843150).

809216 is an abundant number, since it is smaller than the sum of its proper divisors (877084).

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

809216 is a wasteful number, since it uses less digits than its factorization.

809216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 809216 is about 899.5643389997. The cubic root of 809216 is about 93.1868905284.

The spelling of 809216 in words is "eight hundred nine thousand, two hundred sixteen".