984285144 has 96 divisors (see below), whose sum is σ = 2704946400. Its totient is φ = 323312640.

The previous prime is 984285109. The next prime is 984285149. The reversal of 984285144 is 441582489.

984285144 is a `hidden beast` number, since 98 + 42 + 8 + 514 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 984285144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984285149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2530102 + ... + 2530490.

It is an arithmetic number, because the mean of its divisors is an integer number (28176525).

Almost surely, 2^984285144 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 984285144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352473200).

984285144 is an abundant number, since it is smaller than the sum of its proper divisors (1720661256).

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

984285144 is a wasteful number, since it uses less digits than its factorization.

984285144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 818 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 984285144 is about 31373.3189828555. The cubic root of 984285144 is about 994.7340329333.

The spelling of 984285144 in words is "nine hundred eighty-four million, two hundred eighty-five thousand, one hundred forty-four".