809533560 has 192 divisors, whose sum is σ = 2696601600. Its totient is φ = 194261760.

The previous prime is 809533531. The next prime is 809533567. The reversal of 809533560 is 65335908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809533567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1843821 + ... + 1844259.

It is an arithmetic number, because the mean of its divisors is an integer number (14044800).

Almost surely, 2^809533560 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 809533560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348300800).

809533560 is an abundant number, since it is smaller than the sum of its proper divisors (1887068040).

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

809533560 is a wasteful number, since it uses less digits than its factorization.

809533560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 809533560 is about 28452.3032459588. The cubic root of 809533560 is about 931.9907868701.

The spelling of 809533560 in words is "eight hundred nine million, five hundred thirty-three thousand, five hundred sixty".