9609856 has 32 divisors (see below), whose sum is σ = 19293300. Its totient is φ = 4767744.

The previous prime is 9609851. The next prime is 9609863. The reversal of 9609856 is 6589069.

It can be written as a sum of positive squares in 2 ways, for example, as 8904256 + 705600 = 2984^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (9609851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24510 + ... + 24898.

Almost surely, 2^9609856 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 9609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9646650).

9609856 is an abundant number, since it is smaller than the sum of its proper divisors (9683444).

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

9609856 is a wasteful number, since it uses less digits than its factorization.

9609856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 9609856 is about 3099.9767741065. The cubic root of 9609856 is about 212.6044220352.

It can be divided in two parts, 960 and 9856, that added together give a square (10816 = 104²).

The spelling of 9609856 in words is "nine million, six hundred nine thousand, eight hundred fifty-six".