9384096 has 48 divisors (see below), whose sum is σ = 24796800. Its totient is φ = 3107328.

The previous prime is 9384091. The next prime is 9384097. The reversal of 9384096 is 6904839.

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

It is a super-3 number, since 3×9384096³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9384091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22740 + ... + 23148.

It is an arithmetic number, because the mean of its divisors is an integer number (516600).

Almost surely, 2^9384096 is an apocalyptic number.

9384096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9384096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398400).

9384096 is an abundant number, since it is smaller than the sum of its proper divisors (15412704).

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

9384096 is a wasteful number, since it uses less digits than its factorization.

9384096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 9384096 is about 3063.3471889422. The cubic root of 9384096 is about 210.9263386248.

The spelling of 9384096 in words is "nine million, three hundred eighty-four thousand, ninety-six".