9844416 has 98 divisors (see below), whose sum is σ = 29427932. Its totient is φ = 3265920.

The previous prime is 9844403. The next prime is 9844477. The reversal of 9844416 is 6144489.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27648) is a multiple of the sum of its prime divisors (216).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46551 + ... + 46761.

Almost surely, 2^9844416 is an apocalyptic number.

9844416 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 9844416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14713966).

9844416 is an abundant number, since it is smaller than the sum of its proper divisors (19583516).

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

9844416 is an equidigital number, since it uses as much as digits as its factorization.

9844416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 9844416 is about 3137.5812340081. The cubic root of 9844416 is about 214.3203052730.

The spelling of 9844416 in words is "nine million, eight hundred forty-four thousand, four hundred sixteen".