981684144 has 160 divisors (see below), whose sum is σ = 3265187840. Its totient is φ = 276576768.

The previous prime is 981684131. The next prime is 981684181. The reversal of 981684144 is 441486189.

981684144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 981684144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218529 + ... + 222975.

It is an arithmetic number, because the mean of its divisors is an integer number (20407424).

Almost surely, 2^981684144 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 981684144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632593920).

981684144 is an abundant number, since it is smaller than the sum of its proper divisors (2283503696).

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

981684144 is a wasteful number, since it uses less digits than its factorization.

981684144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 4532 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 981684144 is about 31331.8391416782. The cubic root of 981684144 is about 993.8570561774.

The spelling of 981684144 in words is "nine hundred eighty-one million, six hundred eighty-four thousand, one hundred forty-four".