809560 has 32 divisors (see below), whose sum is σ = 1874160. Its totient is φ = 314496.

The previous prime is 809527. The next prime is 809563. The reversal of 809560 is 65908.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1207 + ... + 1753.

2⁸⁰⁹⁵⁶⁰ 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 809560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937080).

809560 is an abundant number, since it is smaller than the sum of its proper divisors (1064600).

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

809560 is a wasteful number, since it uses less digits than its factorization.

809560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 809560 is about 899.7555223504. The cubic root of 809560 is about 93.2000933276.

It can be divided in two parts, 809 and 560, that added together give a square (1369 = 37²).

The spelling of 809560 in words is "eight hundred nine thousand, five hundred sixty".