981189792 has 144 divisors (see below), whose sum is σ = 3204321120. Its totient is φ = 281664000.

The previous prime is 981189787. The next prime is 981189793. The reversal of 981189792 is 297981189.

981189792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (981189793) 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, 52042 + ... + 68342.

It is an arithmetic number, because the mean of its divisors is an integer number (22252230).

Almost surely, 2^981189792 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 981189792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602160560).

981189792 is an abundant number, since it is smaller than the sum of its proper divisors (2223131328).

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

981189792 is a wasteful number, since it uses less digits than its factorization.

981189792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16347 (or 16336 counting only the distinct ones).

The product of its digits is 653184, while the sum is 54.

The square root of 981189792 is about 31323.9491763092. The cubic root of 981189792 is about 993.6902008398.

The spelling of 981189792 in words is "nine hundred eighty-one million, one hundred eighty-nine thousand, seven hundred ninety-two".