384096 has 24 divisors (see below), whose sum is σ = 1008504. Its totient is φ = 128000.

The previous prime is 384089. The next prime is 384107. The reversal of 384096 is 690483.

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

It is a congruent number.

It is an unprimeable number.

384096 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, 1905 + ... + 2096.

It is an arithmetic number, because the mean of its divisors is an integer number (42021).

2³⁸⁴⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

384096 is an abundant number, since it is smaller than the sum of its proper divisors (624408).

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

384096 is a wasteful number, since it uses less digits than its factorization.

384096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 384096 is about 619.7547902195. The cubic root of 384096 is about 72.6908802772.

Adding to 384096 its sum of digits (30), we get a triangular number (384126 = T₈₇₆).

The spelling of 384096 in words is "three hundred eighty-four thousand, ninety-six".