9906336 has 144 divisors (see below), whose sum is σ = 31842720. Its totient is φ = 2895360.

The previous prime is 9906293. The next prime is 9906349. The reversal of 9906336 is 6336099.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9906336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167875 + ... + 167933.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 2^9906336 is an apocalyptic number.

9906336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9906336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921360).

9906336 is an abundant number, since it is smaller than the sum of its proper divisors (21936384).

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

9906336 is a wasteful number, since it uses less digits than its factorization.

9906336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 9906336 is about 3147.4332399592. The cubic root of 9906336 is about 214.7687146887.

It can be divided in two parts, 99063 and 36, that added together give a palindrome (99099).

The spelling of 9906336 in words is "nine million, nine hundred six thousand, three hundred thirty-six".