9834144 has 48 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 3238400.

The previous prime is 9834113. The next prime is 9834173. The reversal of 9834144 is 4414389.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7969 + ... + 9119.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 2^9834144 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 9834144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

9834144 is an abundant number, since it is smaller than the sum of its proper divisors (16293216).

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

9834144 is a wasteful number, since it uses less digits than its factorization.

9834144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1245 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 9834144 is about 3135.9438770488. The cubic root of 9834144 is about 214.2457362880.

The spelling of 9834144 in words is "nine million, eight hundred thirty-four thousand, one hundred forty-four".