809853616 has 160 divisors (see below), whose sum is σ = 1997872128. Its totient is φ = 312299520.

The previous prime is 809853613. The next prime is 809853661. The reversal of 809853616 is 616358908.

It is not an unprimeable number, because it can be changed into a prime (809853613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1827891 + ... + 1828333.

Almost surely, 2^809853616 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 809853616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998936064).

809853616 is an abundant number, since it is smaller than the sum of its proper divisors (1188018512).

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

809853616 is a wasteful number, since it uses less digits than its factorization.

809853616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 809853616 is about 28457.9271205757. The cubic root of 809853616 is about 932.1135941903.

The spelling of 809853616 in words is "eight hundred nine million, eight hundred fifty-three thousand, six hundred sixteen".