9905368 has 32 divisors (see below), whose sum is σ = 20920320. Its totient is φ = 4356000.

The previous prime is 9905293. The next prime is 9905377. The reversal of 9905368 is 8635099.

It is a self number, because there is not a number n which added to its sum of digits gives 9905368.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 913 + ... + 4543.

It is an arithmetic number, because the mean of its divisors is an integer number (653760).

Almost surely, 2^9905368 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 9905368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10460160).

9905368 is an abundant number, since it is smaller than the sum of its proper divisors (11014952).

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

9905368 is a wasteful number, since it uses less digits than its factorization.

9905368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 9905368 is about 3147.2794601052. The cubic root of 9905368 is about 214.7617190687.

The spelling of 9905368 in words is "nine million, nine hundred five thousand, three hundred sixty-eight".