9855616 has 32 divisors (see below), whose sum is σ = 20174580. Its totient is φ = 4792320.

The previous prime is 9855611. The next prime is 9855647. The reversal of 9855616 is 6165589.

It can be written as a sum of positive squares in 2 ways, for example, as 9585216 + 270400 = 3096^2 + 520^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9855611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3696 + ... + 5776.

Almost surely, 2^9855616 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 9855616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10087290).

9855616 is an abundant number, since it is smaller than the sum of its proper divisors (10318964).

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

9855616 is a wasteful number, since it uses less digits than its factorization.

9855616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2120 counting only the distinct ones).

The product of its digits is 64800, while the sum is 40.

The square root of 9855616 is about 3139.3655409971. The cubic root of 9855616 is about 214.4015519305.

It can be divided in two parts, 9 and 855616, that added together give a square (855625 = 925²).

The spelling of 9855616 in words is "nine million, eight hundred fifty-five thousand, six hundred sixteen".