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9856 = 27711

9856 has 32 divisors (see below), whose sum is σ = 24480. Its totient is φ = 3840.

The previous prime is 9851. The next prime is 9857. The reversal of 9856 is 6589.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (2160) is a multiple of the sum of its prime divisors (20).

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9851) by changing a digit.

9856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 891 + ... + 901.

It is an arithmetic number, because the mean of its divisors is an integer number (765).

29856 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 9856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12240).

9856 is an abundant number, since it is smaller than the sum of its proper divisors (14624).

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

9856 is a wasteful number, since it uses less digits than its factorization.

9856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 20 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 9856 is about 99.2773891679. The cubic root of 9856 is about 21.4404336439.

The spelling of 9856 in words is "nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856