986080128 has 256 divisors, whose sum is σ = 3005164800. Its totient is φ = 283852800.

The previous prime is 986080103. The next prime is 986080141. The reversal of 986080128 is 821080689.

It is a self number, because there is not a number n which added to its sum of digits gives 986080128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11079508 + ... + 11079596.

It is an arithmetic number, because the mean of its divisors is an integer number (11738925).

Almost surely, 2^986080128 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 986080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502582400).

986080128 is an abundant number, since it is smaller than the sum of its proper divisors (2019084672).

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

986080128 is a wasteful number, since it uses less digits than its factorization.

986080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 986080128 is about 31401.9128079803. The cubic root of 986080128 is about 995.3383454107.

The spelling of 986080128 in words is "nine hundred eighty-six million, eighty thousand, one hundred twenty-eight".