120384 has 84 divisors (see below), whose sum is σ = 396240. Its totient is φ = 34560.

The previous prime is 120383. The next prime is 120391. The reversal of 120384 is 483021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6327 + ... + 6345.

120384 is a Friedman number, since it can be written as 40128*3, using all its digits and the basic arithmetic operations.

2¹²⁰³⁸⁴ 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 120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198120).

120384 is an abundant number, since it is smaller than the sum of its proper divisors (275856).

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

120384 is a wasteful number, since it uses less digits than its factorization.

120384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120384 is about 346.9639750752. The cubic root of 120384 is about 49.3767979904.

The spelling of 120384 in words is "one hundred twenty thousand, three hundred eighty-four".