989766960 has 160 divisors (see below), whose sum is σ = 3776424960. Its totient is φ = 208825344.

The previous prime is 989766941. The next prime is 989766961. The reversal of 989766960 is 69667989.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 989766894 and 989766903.

It is not an unprimeable number, because it can be changed into a prime (989766961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 820 + ... + 44499.

It is an arithmetic number, because the mean of its divisors is an integer number (23602656).

Almost surely, 2^989766960 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 989766960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888212480).

989766960 is an abundant number, since it is smaller than the sum of its proper divisors (2786658000).

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

989766960 is a wasteful number, since it uses less digits than its factorization.

989766960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45355 (or 45349 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The square root of 989766960 is about 31460.5619784517. The cubic root of 989766960 is about 996.5772850547.

The spelling of 989766960 in words is "nine hundred eighty-nine million, seven hundred sixty-six thousand, nine hundred sixty".