809116 has 48 divisors (see below), whose sum is σ = 1838592. Its totient is φ = 302400.

The previous prime is 809101. The next prime is 809141. The reversal of 809116 is 611908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11361 + ... + 11431.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

2⁸⁰⁹¹¹⁶ 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 809116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296).

809116 is an abundant number, since it is smaller than the sum of its proper divisors (1029476).

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

809116 is a wasteful number, since it uses less digits than its factorization.

809116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 809116 is about 899.5087548212. The cubic root of 809116 is about 93.1830518035.

The spelling of 809116 in words is "eight hundred nine thousand, one hundred sixteen".