9648384 has 72 divisors (see below), whose sum is σ = 27226080. Its totient is φ = 3022848.

The previous prime is 9648377. The next prime is 9648421. The reversal of 9648384 is 4838469.

It is a super-2 number, since 2×9648384² = 186182627622912, which contains 22 as substring.

It is a d-powerful number, because it can be written as 9⁷ + 6 + 4⁷ + 8 + 3¹⁴ + 8³ + 4⁸ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12687 + ... + 13425.

It is an arithmetic number, because the mean of its divisors is an integer number (378140).

Almost surely, 2^9648384 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 9648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13613040).

9648384 is an abundant number, since it is smaller than the sum of its proper divisors (17577696).

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

9648384 is a wasteful number, since it uses less digits than its factorization.

9648384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 761 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 9648384 is about 3106.1847981084. The cubic root of 9648384 is about 212.8881689402. Note that the first 3 decimals are identical.

The spelling of 9648384 in words is "nine million, six hundred forty-eight thousand, three hundred eighty-four".