60384 has 48 divisors (see below), whose sum is σ = 172368. Its totient is φ = 18432.

The previous prime is 60383. The next prime is 60397. The reversal of 60384 is 48306.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 60384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1614 + ... + 1650.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

2⁶⁰³⁸⁴ 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 60384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184).

60384 is an abundant number, since it is smaller than the sum of its proper divisors (111984).

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

60384 is a wasteful number, since it uses less digits than its factorization.

60384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 60384 is about 245.7315608545. The cubic root of 60384 is about 39.2320160489.

It can be divided in two parts, 60 and 384, that added together give a palindrome (444).

The spelling of 60384 in words is "sixty thousand, three hundred eighty-four".