809006048 has 36 divisors (see below), whose sum is σ = 1665025488. Its totient is φ = 386907840.

The previous prime is 809005991. The next prime is 809006083. The reversal of 809006048 is 840600908.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 809005999 and 809006017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6968 + ... + 40823.

It is an arithmetic number, because the mean of its divisors is an integer number (46250708).

Almost surely, 2^809006048 is an apocalyptic number.

It is an amenable number.

809006048 is an abundant number, since it is smaller than the sum of its proper divisors (856019440).

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

809006048 is a wasteful number, since it uses less digits than its factorization.

809006048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47847 (or 47816 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 809006048 is about 28443.0316246352. The cubic root of 809006048 is about 931.7883068353.

The spelling of 809006048 in words is "eight hundred nine million, six thousand, forty-eight".