108384 has 24 divisors (see below), whose sum is σ = 284760. Its totient is φ = 36096.

The previous prime is 108379. The next prime is 108401. The reversal of 108384 is 483801.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108384.

It is an unprimeable number.

108384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 469 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (11865).

2¹⁰⁸³⁸⁴ is an apocalyptic number.

It is an amenable number.

108384 is an abundant number, since it is smaller than the sum of its proper divisors (176376).

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

108384 is a wasteful number, since it uses less digits than its factorization.

108384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 108384 is about 329.2172534968. The cubic root of 108384 is about 47.6784057242.

The spelling of 108384 in words is "one hundred eight thousand, three hundred eighty-four".