216612 has 36 divisors (see below), whose sum is σ = 598416. Its totient is φ = 65520.

The previous prime is 216607. The next prime is 216617.

It is a happy number.

216612 is a `hidden beast` number, since 2 + 1 + 661 + 2 = 666.

216612 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (216607) and next prime (216617).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (216617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123 + ... + 669.

2²¹⁶⁶¹² is an apocalyptic number.

216612 is a gapful number since it is divisible by the number (22) 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 216612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299208).

216612 is an abundant number, since it is smaller than the sum of its proper divisors (381804).

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

216612 is a wasteful number, since it uses less digits than its factorization.

216612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 563 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 216612 is about 465.4159430015. The cubic root of 216612 is about 60.0566132322.

It can be divided in two parts, 216 and 612, that added together give a palindrome (828).

The spelling of 216612 in words is "two hundred sixteen thousand, six hundred twelve".