806809248 has 240 divisors, whose sum is σ = 2766234240. Its totient is φ = 225897984.

The previous prime is 806809229. The next prime is 806809253. The reversal of 806809248 is 842908608.

It is a happy 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 39 ways as a sum of consecutive naturals, for example, 961213 + ... + 962051.

It is an arithmetic number, because the mean of its divisors is an integer number (11525976).

Almost surely, 2^806809248 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 806809248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383117120).

806809248 is an abundant number, since it is smaller than the sum of its proper divisors (1959424992).

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

806809248 is a wasteful number, since it uses less digits than its factorization.

806809248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 806809248 is about 28404.3878300519. The cubic root of 806809248 is about 930.9441400359.

The spelling of 806809248 in words is "eight hundred six million, eight hundred nine thousand, two hundred forty-eight".