989668000 has 96 divisors (see below), whose sum is σ = 2441629008. Its totient is φ = 394240000.

The previous prime is 989667967. The next prime is 989668019. The reversal of 989668000 is 866989.

It is a happy number.

989668000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 45212176 + 944455824 = 6724^2 + 30732^2 .

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, 1603692 + ... + 1604308.

Almost surely, 2^989668000 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 989668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220814504).

989668000 is an abundant number, since it is smaller than the sum of its proper divisors (1451961008).

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

989668000 is a wasteful number, since it uses less digits than its factorization.

989668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 989668000 is about 31458.9891763865. The cubic root of 989668000 is about 996.5440703085.

The spelling of 989668000 in words is "nine hundred eighty-nine million, six hundred sixty-eight thousand".