360306 has 24 divisors (see below), whose sum is σ = 803244. Its totient is φ = 116640.

The previous prime is 360293. The next prime is 360307. The reversal of 360306 is 603063.

360306 is a `hidden beast` number, since 360 + 306 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 349281 + 11025 = 591^2 + 105^2 .

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

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360306.

It is not an unprimeable number, because it can be changed into a prime (360307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396 + ... + 936.

2³⁶⁰³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401622).

360306 is an abundant number, since it is smaller than the sum of its proper divisors (442938).

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

360306 is a wasteful number, since it uses less digits than its factorization.

360306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 360306 is about 600.2549458355. The cubic root of 360306 is about 71.1580161104.

Adding to 360306 its reverse (603063), we get a palindrome (963369).

It can be divided in two parts, 360 and 306, that added together give a palindrome (666).

The spelling of 360306 in words is "three hundred sixty thousand, three hundred six".