809648 has 20 divisors (see below), whose sum is σ = 1793040. Its totient is φ = 346944.

The previous prime is 809629. The next prime is 809701. The reversal of 809648 is 846908.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

809648 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, 3503 + ... + 3726.

It is an arithmetic number, because the mean of its divisors is an integer number (89652).

2⁸⁰⁹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

809648 is an abundant number, since it is smaller than the sum of its proper divisors (983392).

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

809648 is a wasteful number, since it uses less digits than its factorization.

809648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 809648 is about 899.8044231943. The cubic root of 809648 is about 93.2034701871.

The spelling of 809648 in words is "eight hundred nine thousand, six hundred forty-eight".