9642144 has 48 divisors (see below), whose sum is σ = 25861248. Its totient is φ = 3144192.

The previous prime is 9642133. The next prime is 9642151. The reversal of 9642144 is 4412469.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3444 + ... + 5580.

It is an arithmetic number, because the mean of its divisors is an integer number (538776).

Almost surely, 2^9642144 is an apocalyptic number.

9642144 is a gapful number since it is divisible by the number (94) 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 9642144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12930624).

9642144 is an abundant number, since it is smaller than the sum of its proper divisors (16219104).

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

9642144 is a wasteful number, since it uses less digits than its factorization.

9642144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2189 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 9642144 is about 3105.1801880084. The cubic root of 9642144 is about 212.8422645809.

The spelling of 9642144 in words is "nine million, six hundred forty-two thousand, one hundred forty-four".