9856000 has 176 divisors, whose sum is σ = 30655872. Its totient is φ = 3072000.

The previous prime is 9855997. The next prime is 9856019. The reversal of 9856000 is 6589.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 9856000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 895995 + ... + 896005.

Almost surely, 2^9856000 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 9856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327936).

9856000 is an abundant number, since it is smaller than the sum of its proper divisors (20799872).

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

9856000 is a wasteful number, since it uses less digits than its factorization.

9856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 25 counting only the distinct ones).

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

The square root of 9856000 is about 3139.4266992558. The cubic root of 9856000 is about 214.4043364386.

The spelling of 9856000 in words is "nine million, eight hundred fifty-six thousand".