9765984 has 48 divisors (see below), whose sum is σ = 26756352. Its totient is φ = 3113088.

The previous prime is 9765967. The next prime is 9765991. The reversal of 9765984 is 4895679.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 4419.

It is an arithmetic number, because the mean of its divisors is an integer number (557424).

Almost surely, 2^9765984 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 9765984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378176).

9765984 is an abundant number, since it is smaller than the sum of its proper divisors (16990368).

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

9765984 is a wasteful number, since it uses less digits than its factorization.

9765984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459 (or 4451 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 9765984 is about 3125.0574394721. The cubic root of 9765984 is about 213.7496125296.

The spelling of 9765984 in words is "nine million, seven hundred sixty-five thousand, nine hundred eighty-four".