809688 has 32 divisors (see below), whose sum is σ = 2208960. Its totient is φ = 245280.

The previous prime is 809629. The next prime is 809701. The reversal of 809688 is 886908.

809688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 809688.

It is an unprimeable number.

809688 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 7 ways as a sum of consecutive naturals, for example, 1270 + ... + 1797.

It is an arithmetic number, because the mean of its divisors is an integer number (69030).

2⁸⁰⁹⁶⁸⁸ is an apocalyptic number.

809688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

809688 is an abundant number, since it is smaller than the sum of its proper divisors (1399272).

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

809688 is a wasteful number, since it uses less digits than its factorization.

809688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 809688 is about 899.8266499721. The cubic root of 809688 is about 93.2050050423.

The spelling of 809688 in words is "eight hundred nine thousand, six hundred eighty-eight".