9956800 has 126 divisors (see below), whose sum is σ = 28724352. Its totient is φ = 3386880.

The previous prime is 9956761. The next prime is 9956801. The reversal of 9956800 is 86599.

It is a self number, because there is not a number n which added to its sum of digits gives 9956800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9956801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78337 + ... + 78463.

Almost surely, 2^9956800 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 9956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362176).

9956800 is an abundant number, since it is smaller than the sum of its proper divisors (18767552).

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

9956800 is a wasteful number, since it uses less digits than its factorization.

9956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 9956800 is about 3155.4397474837. The cubic root of 9956800 is about 215.1327825890.

The spelling of 9956800 in words is "nine million, nine hundred fifty-six thousand, eight hundred".