9956000 has 96 divisors (see below), whose sum is σ = 25945920. Its totient is φ = 3744000.

The previous prime is 9955949. The next prime is 9956003. The reversal of 9956000 is 6599.

9956000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9956003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75935 + ... + 76065.

It is an arithmetic number, because the mean of its divisors is an integer number (270270).

Almost surely, 2^9956000 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 9956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960).

9956000 is an abundant number, since it is smaller than the sum of its proper divisors (15989920).

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

9956000 is a wasteful number, since it uses less digits than its factorization.

9956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 9956000 is about 3155.3129797217. The cubic root of 9956000 is about 215.1270206696.

The spelling of 9956000 in words is "nine million, nine hundred fifty-six thousand".