9890784 has 72 divisors (see below), whose sum is σ = 28638792. Its totient is φ = 3237120.

The previous prime is 9890761. The next prime is 9890789. The reversal of 9890784 is 4870989.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9890789) 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 11 ways as a sum of consecutive naturals, for example, 17287 + ... + 17849.

It is an arithmetic number, because the mean of its divisors is an integer number (397761).

Almost surely, 2^9890784 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 9890784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14319396).

9890784 is an abundant number, since it is smaller than the sum of its proper divisors (18748008).

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

9890784 is a wasteful number, since it uses less digits than its factorization.

9890784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9890784 is about 3144.9616849812. The cubic root of 9890784 is about 214.6562670442.

The spelling of 9890784 in words is "nine million, eight hundred ninety thousand, seven hundred eighty-four".