809664 has 28 divisors (see below), whose sum is σ = 2142744. Its totient is φ = 269824.

The previous prime is 809629. The next prime is 809701. The reversal of 809664 is 466908.

It is a plaindrome in base 13.

It is an unprimeable number.

809664 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 3 ways as a sum of consecutive naturals, for example, 1917 + ... + 2300.

2⁸⁰⁹⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

809664 is an abundant number, since it is smaller than the sum of its proper divisors (1333080).

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

809664 is a wasteful number, since it uses less digits than its factorization.

809664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 809664 is about 899.8133139713. The cubic root of 809664 is about 93.2040841352.

The spelling of 809664 in words is "eight hundred nine thousand, six hundred sixty-four".