981942080 has 112 divisors (see below), whose sum is σ = 2683459200. Its totient is φ = 335259648.

The previous prime is 981942067. The next prime is 981942107. The reversal of 981942080 is 80249189.

981942080 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 (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633146 + ... + 634694.

Almost surely, 2^981942080 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 981942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341729600).

981942080 is an abundant number, since it is smaller than the sum of its proper divisors (1701517120).

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

981942080 is a wasteful number, since it uses less digits than its factorization.

981942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 981942080 is about 31335.9550676216. The cubic root of 981942080 is about 993.9440933595.

The spelling of 981942080 in words is "nine hundred eighty-one million, nine hundred forty-two thousand, eighty".