216360 has 48 divisors (see below), whose sum is σ = 704340. Its totient is φ = 57600.

The previous prime is 216347. The next prime is 216371. The reversal of 216360 is 63612.

216360 = T₂₀₃ + T₂₀₄ + ... + T₂₁₂.

It is a happy number.

216360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 2916 = 462^2 + 54^2 .

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

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60 + ... + 660.

2²¹⁶³⁶⁰ is an apocalyptic number.

216360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352170).

216360 is an abundant number, since it is smaller than the sum of its proper divisors (487980).

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

216360 is a wasteful number, since it uses less digits than its factorization.

216360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 611 counting only the distinct ones).

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

The square root of 216360 is about 465.1451386395. The cubic root of 216360 is about 60.0333148319.

Adding to 216360 its reverse (63612), we get a palindrome (279972).

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

The spelling of 216360 in words is "two hundred sixteen thousand, three hundred sixty".