807966 has 12 divisors (see below), whose sum is σ = 1750632. Its totient is φ = 269316.

The previous prime is 807949. The next prime is 807973. The reversal of 807966 is 669708.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 807966.

It is a congruent number.

It is an unprimeable number.

807966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22426 + ... + 22461.

It is an arithmetic number, because the mean of its divisors is an integer number (145886).

2⁸⁰⁷⁹⁶⁶ is an apocalyptic number.

807966 is an abundant number, since it is smaller than the sum of its proper divisors (942666).

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

807966 is a wasteful number, since it uses less digits than its factorization.

807966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44895 (or 44892 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 807966 is about 898.8692897190. The cubic root of 807966 is about 93.1388837159.

The spelling of 807966 in words is "eight hundred seven thousand, nine hundred sixty-six".