989954784 has 288 divisors, whose sum is σ = 3595737600. Its totient is φ = 260900352.

The previous prime is 989954783. The next prime is 989954807. The reversal of 989954784 is 487459989.

989954784 is a `hidden beast` number, since 9 + 8 + 9 + 9 + 547 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989954783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 706917 + ... + 708315.

It is an arithmetic number, because the mean of its divisors is an integer number (12485200).

Almost surely, 2^989954784 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 989954784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797868800).

989954784 is an abundant number, since it is smaller than the sum of its proper divisors (2605782816).

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

989954784 is a wasteful number, since it uses less digits than its factorization.

989954784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1424 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 989954784 is about 31463.5469074928. The cubic root of 989954784 is about 996.6403198567.

The spelling of 989954784 in words is "nine hundred eighty-nine million, nine hundred fifty-four thousand, seven hundred eighty-four".