8009856 has 96 divisors (see below), whose sum is σ = 24464700. Its totient is φ = 2506752.

The previous prime is 8009843. The next prime is 8009861. The reversal of 8009856 is 6589008.

8009856 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6843456 + 1166400 = 2616^2 + 1080^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8009856.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19380 + ... + 19788.

Almost surely, 2^8009856 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 8009856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12232350).

8009856 is an abundant number, since it is smaller than the sum of its proper divisors (16454844).

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

8009856 is a wasteful number, since it uses less digits than its factorization.

8009856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8009856 is about 2830.1688995535. The cubic root of 8009856 is about 200.0820996270.

The spelling of 8009856 in words is "eight million, nine thousand, eight hundred fifty-six".