9876384 has 192 divisors, whose sum is σ = 34836480. Its totient is φ = 2661120.

The previous prime is 9876379. The next prime is 9876413. The reversal of 9876384 is 4836789.

It is a happy number.

9876384 is a `hidden beast` number, since 9 + 8 + 7 + 638 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 139069 + ... + 139139.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^9876384 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 9876384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

9876384 is an abundant number, since it is smaller than the sum of its proper divisors (24960096).

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

9876384 is a wasteful number, since it uses less digits than its factorization.

9876384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 9876384 is about 3142.6714750352. The cubic root of 9876384 is about 214.5520437070.

The spelling of 9876384 in words is "nine million, eight hundred seventy-six thousand, three hundred eighty-four".