9955200 has 192 divisors, whose sum is σ = 35287920. Its totient is φ = 2457600.

The previous prime is 9955199. The next prime is 9955201. The reversal of 9955200 is 25599.

9955200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9955199) and next prime (9955201).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9955201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163170 + ... + 163230.

Almost surely, 2^9955200 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 9955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17643960).

9955200 is an abundant number, since it is smaller than the sum of its proper divisors (25332720).

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

9955200 is a wasteful number, since it uses less digits than its factorization.

9955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 9955200 is about 3155.1862068664. The cubic root of 9955200 is about 215.1212584416.

The spelling of 9955200 in words is "nine million, nine hundred fifty-five thousand, two hundred".