9784354960 has 80 divisors (see below), whose sum is σ = 22903712640. Its totient is φ = 3887170560.

The previous prime is 9784354927. The next prime is 9784354961. The reversal of 9784354960 is 694534879.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (9784354961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9489645 + ... + 9490675.

It is an arithmetic number, because the mean of its divisors is an integer number (286296408).

Almost surely, 2^9784354960 is an apocalyptic number.

It is an amenable number.

9784354960 is an abundant number, since it is smaller than the sum of its proper divisors (13119357680).

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

9784354960 is a wasteful number, since it uses less digits than its factorization.

9784354960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The square root of 9784354960 is about 98915.8984188083. The cubic root of 9784354960 is about 2138.8355792979.

The spelling of 9784354960 in words is "nine billion, seven hundred eighty-four million, three hundred fifty-four thousand, nine hundred sixty".