809968 has 40 divisors (see below), whose sum is σ = 1714176. Its totient is φ = 369600.

The previous prime is 809929. The next prime is 809981. The reversal of 809968 is 869908.

It is a happy number.

It is a super-2 number, since 2×809968² = 1312096322048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 809968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11373 + ... + 11443.

2⁸⁰⁹⁹⁶⁸ 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 809968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857088).

809968 is an abundant number, since it is smaller than the sum of its proper divisors (904208).

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

809968 is a wasteful number, since it uses less digits than its factorization.

809968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 809968 is about 899.9822220466. The cubic root of 809968 is about 93.2157476138.

The spelling of 809968 in words is "eight hundred nine thousand, nine hundred sixty-eight".