384768 has 54 divisors (see below), whose sum is σ = 1116024. Its totient is φ = 127488.

The previous prime is 384757. The next prime is 384773. The reversal of 384768 is 867483.

384768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

384768 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 5 ways as a sum of consecutive naturals, for example, 2221 + ... + 2387.

2³⁸⁴⁷⁶⁸ 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 384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558012).

384768 is an abundant number, since it is smaller than the sum of its proper divisors (731256).

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

384768 is a wasteful number, since it uses less digits than its factorization.

384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 384768 is about 620.2967031994. The cubic root of 384768 is about 72.7332479939.

The spelling of 384768 in words is "three hundred eighty-four thousand, seven hundred sixty-eight".