809689608 has 384 divisors, whose sum is σ = 2935296000. Its totient is φ = 203233536.

The previous prime is 809689577. The next prime is 809689637. The reversal of 809689608 is 806986908.

It is a super-2 number, since 2×809689608² = 1311194522606387328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

809689608 is a strobogrammatic number because it is the same when read upside-down.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4068693 + ... + 4068891.

It is an arithmetic number, because the mean of its divisors is an integer number (7644000).

Almost surely, 2^809689608 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 809689608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467648000).

809689608 is an abundant number, since it is smaller than the sum of its proper divisors (2125606392).

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

809689608 is a wasteful number, since it uses less digits than its factorization.

809689608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 809689608 is about 28455.0453874177. The cubic root of 809689608 is about 932.0506674242.

The spelling of 809689608 in words is "eight hundred nine million, six hundred eighty-nine thousand, six hundred eight".