916806 has 32 divisors (see below), whose sum is σ = 2073600. Its totient is φ = 267680.

The previous prime is 916787. The next prime is 916831. The reversal of 916806 is 608619.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 916806.

It is an unprimeable number.

916806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1675 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (64800).

2⁹¹⁶⁸⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 957×958.

It is a practical number, because each smaller number is the sum of distinct divisors of 916806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036800).

916806 is an abundant number, since it is smaller than the sum of its proper divisors (1156794).

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

916806 is a wasteful number, since it uses less digits than its factorization.

916806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 916806 is about 957.4998694517. The cubic root of 916806 is about 97.1461996296.

The spelling of 916806 in words is "nine hundred sixteen thousand, eight hundred six".