809064 has 48 divisors (see below), whose sum is σ = 2323620. Its totient is φ = 253440.

The previous prime is 809063. The next prime is 809087. The reversal of 809064 is 460908.

It can be written as a sum of positive squares in 2 ways, for example, as 736164 + 72900 = 858^2 + 270^2 .

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 809064.

It is not an unprimeable number, because it can be changed into a prime (809063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 894 + ... + 1554.

2⁸⁰⁹⁰⁶⁴ 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 809064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161810).

809064 is an abundant number, since it is smaller than the sum of its proper divisors (1514556).

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

809064 is a wasteful number, since it uses less digits than its factorization.

809064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 809064 is about 899.4798496909. The cubic root of 809064 is about 93.1810555415.

The spelling of 809064 in words is "eight hundred nine thousand, sixty-four".