360288 has 60 divisors (see below), whose sum is σ = 1067220. Its totient is φ = 119232.

The previous prime is 360287. The next prime is 360289. The reversal of 360288 is 882063.

It is an interprime number because it is at equal distance from previous prime (360287) and next prime (360289).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2523 + ... + 2661.

It is an arithmetic number, because the mean of its divisors is an integer number (17787).

2³⁶⁰²⁸⁸ 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 360288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533610).

360288 is an abundant number, since it is smaller than the sum of its proper divisors (706932).

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

360288 is a wasteful number, since it uses less digits than its factorization.

360288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 360288 is about 600.2399520192. The cubic root of 360288 is about 71.1568311310.

The spelling of 360288 in words is "three hundred sixty thousand, two hundred eighty-eight".