360216 has 24 divisors (see below), whose sum is σ = 975780. Its totient is φ = 120048.

The previous prime is 360197. The next prime is 360223. The reversal of 360216 is 612063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a plaindrome in base 11.

It is a zygodrome in base 11.

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 360216.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2430 + ... + 2573.

2³⁶⁰²¹⁶ is an apocalyptic number.

360216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

360216 is an abundant number, since it is smaller than the sum of its proper divisors (615564).

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

360216 is a wasteful number, since it uses less digits than its factorization.

360216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 360216 is about 600.1799730081. The cubic root of 360216 is about 71.1520908185.

Subtracting from 360216 its product of nonzero digits (216), we obtain a square (360000 = 600²).

Adding to 360216 its reverse (612063), we get a palindrome (972279).

It can be divided in two parts, 360 and 216, that added together give a square (576 = 24²).

The spelling of 360216 in words is "three hundred sixty thousand, two hundred sixteen".