60288 has 32 divisors (see below), whose sum is σ = 161160. Its totient is φ = 19968.

The previous prime is 60271. The next prime is 60289. The reversal of 60288 is 88206.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a nialpdrome in base 16.

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 60288.

It is not an unprimeable number, because it can be changed into a prime (60289) 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 3 ways as a sum of consecutive naturals, for example, 306 + ... + 462.

2⁶⁰²⁸⁸ 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 60288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80580).

60288 is an abundant number, since it is smaller than the sum of its proper divisors (100872).

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

60288 is a wasteful number, since it uses less digits than its factorization.

60288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

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

The square root of 60288 is about 245.5361480516. The cubic root of 60288 is about 39.2112143397.

The spelling of 60288 in words is "sixty thousand, two hundred eighty-eight".