989146080 has 576 divisors, whose sum is σ = 4006679040. Its totient is φ = 228427776.

The previous prime is 989146079. The next prime is 989146097. The reversal of 989146080 is 80641989.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9603309 + ... + 9603411.

It is an arithmetic number, because the mean of its divisors is an integer number (6956040).

Almost surely, 2^989146080 is an apocalyptic number.

989146080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003339520).

989146080 is an abundant number, since it is smaller than the sum of its proper divisors (3017532960).

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

989146080 is a wasteful number, since it uses less digits than its factorization.

989146080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 989146080 is about 31450.6928381554. The cubic root of 989146080 is about 996.3688574294.

The spelling of 989146080 in words is "nine hundred eighty-nine million, one hundred forty-six thousand, eighty".