989784960 has 128 divisors (see below), whose sum is σ = 3193464960. Its totient is φ = 260720640.

The previous prime is 989784949. The next prime is 989784973. The reversal of 989784960 is 69487989.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 989784894 and 989784903.

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, 156255 + ... + 162465.

It is an arithmetic number, because the mean of its divisors is an integer number (24948945).

Almost surely, 2^989784960 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 989784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596732480).

989784960 is an abundant number, since it is smaller than the sum of its proper divisors (2203680000).

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

989784960 is a wasteful number, since it uses less digits than its factorization.

989784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6316 (or 6304 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The square root of 989784960 is about 31460.8480495997. The cubic root of 989784960 is about 996.5833263025.

The spelling of 989784960 in words is "nine hundred eighty-nine million, seven hundred eighty-four thousand, nine hundred sixty".