9955008 has 112 divisors (see below), whose sum is σ = 33487360. Its totient is φ = 2840832.

The previous prime is 9955003. The next prime is 9955009. The reversal of 9955008 is 8005599.

9955008 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 a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9955003) 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, 11685 + ... + 12507.

Almost surely, 2^9955008 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 9955008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16743680).

9955008 is an abundant number, since it is smaller than the sum of its proper divisors (23532352).

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

9955008 is a wasteful number, since it uses less digits than its factorization.

9955008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 9955008 is about 3155.1557806232. The cubic root of 9955008 is about 215.1198754609.

The spelling of 9955008 in words is "nine million, nine hundred fifty-five thousand, eight".