9856160 has 48 divisors (see below), whose sum is σ = 23473800. Its totient is φ = 3910656.

The previous prime is 9856153. The next prime is 9856163. The reversal of 9856160 is 616589.

It can be written as a sum of positive squares in 4 ways, for example, as 7862416 + 1993744 = 2804^2 + 1412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9856160.

It is not an unprimeable number, because it can be changed into a prime (9856163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36506 + ... + 36774.

Almost surely, 2^9856160 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 9856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11736900).

9856160 is an abundant number, since it is smaller than the sum of its proper divisors (13617640).

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

9856160 is a wasteful number, since it uses less digits than its factorization.

9856160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 9856160 is about 3139.4521815119. The cubic root of 9856160 is about 214.4054966290.

The spelling of 9856160 in words is "nine million, eight hundred fifty-six thousand, one hundred sixty".