9906600 has 192 divisors, whose sum is σ = 35712000. Its totient is φ = 2246400.

The previous prime is 9906599. The next prime is 9906653. The reversal of 9906600 is 66099.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125361 + ... + 125439.

It is an arithmetic number, because the mean of its divisors is an integer number (186000).

Almost surely, 2^9906600 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 9906600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

9906600 is an abundant number, since it is smaller than the sum of its proper divisors (25805400).

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

9906600 is a wasteful number, since it uses less digits than its factorization.

9906600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 9906600 is about 3147.4751786154. The cubic root of 9906600 is about 214.7706225060.

It can be divided in two parts, 9 and 906600, that added together give a palindrome (906609).

The spelling of 9906600 in words is "nine million, nine hundred six thousand, six hundred".