9838416 has 120 divisors (see below), whose sum is σ = 30533760. Its totient is φ = 2720256.

The previous prime is 9838397. The next prime is 9838417. The reversal of 9838416 is 6148389.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9838417) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 110500 + ... + 110588.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 2^9838416 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 9838416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).

9838416 is an abundant number, since it is smaller than the sum of its proper divisors (20695344).

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

9838416 is a wasteful number, since it uses less digits than its factorization.

9838416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 9838416 is about 3136.6249377316. The cubic root of 9838416 is about 214.2767549270.

The spelling of 9838416 in words is "nine million, eight hundred thirty-eight thousand, four hundred sixteen".