984144 has 80 divisors (see below), whose sum is σ = 3035520. Its totient is φ = 268800.

The previous prime is 984127. The next prime is 984149. The reversal of 984144 is 441489.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9694 + ... + 9794.

It is an arithmetic number, because the mean of its divisors is an integer number (37944).

2⁹⁸⁴¹⁴⁴ 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 984144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517760).

984144 is an abundant number, since it is smaller than the sum of its proper divisors (2051376).

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

984144 is a wasteful number, since it uses less digits than its factorization.

984144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 984144 is about 992.0403217612. The cubic root of 984144 is about 99.4686483212.

It can be divided in two parts, 984 and 144, that added together give a triangular number (1128 = T₄₇).

The spelling of 984144 in words is "nine hundred eighty-four thousand, one hundred forty-four".