9842144 has 48 divisors (see below), whose sum is σ = 21273840. Its totient is φ = 4454400.

The previous prime is 9842123. The next prime is 9842179. The reversal of 9842144 is 4412489.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 9842144.

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, 24344 + ... + 24744.

It is an arithmetic number, because the mean of its divisors is an integer number (443205).

Almost surely, 2^9842144 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 9842144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10636920).

9842144 is an abundant number, since it is smaller than the sum of its proper divisors (11431696).

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

9842144 is a wasteful number, since it uses less digits than its factorization.

9842144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 9842144 is about 3137.2191507767. The cubic root of 9842144 is about 214.3038162909.

The spelling of 9842144 in words is "nine million, eight hundred forty-two thousand, one hundred forty-four".