810966 has 32 divisors (see below), whose sum is σ = 1800288. Its totient is φ = 241920.

The previous prime is 810961. The next prime is 810967. The reversal of 810966 is 669018.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 810966.

It is not an unprimeable number, because it can be changed into a prime (810961) by changing a digit.

810966 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, 2746 + ... + 3026.

It is an arithmetic number, because the mean of its divisors is an integer number (56259).

2⁸¹⁰⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900144).

810966 is an abundant number, since it is smaller than the sum of its proper divisors (989322).

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

810966 is a wasteful number, since it uses less digits than its factorization.

810966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336.

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

The square root of 810966 is about 900.5365067558. The cubic root of 810966 is about 93.2540170819.

The spelling of 810966 in words is "eight hundred ten thousand, nine hundred sixty-six".