6612 has 24 divisors (see below), whose sum is σ = 16800. Its totient is φ = 2016.

The previous prime is 6607. The next prime is 6619. The reversal of 6612 is 2166.

Added to its reverse (2166) it gives a triangular number (8778 = T₁₃₂).

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

It is a junction number, because it is equal to n+sod(n) for n = 6591 and 6600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214 + ... + 242.

It is an arithmetic number, because the mean of its divisors is an integer number (700).

2⁶⁶¹² 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 6612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400).

6612 is an abundant number, since it is smaller than the sum of its proper divisors (10188).

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

6612 is a wasteful number, since it uses less digits than its factorization.

6612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 53 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 6612 is about 81.3142054010. The cubic root of 6612 is about 18.7691360189.

Adding to 6612 its reverse (2166), we get a palindrome (8778).

It can be divided in two parts, 66 and 12, that added together give a triangular number (78 = T₁₂).

The spelling of 6612 in words is "six thousand, six hundred twelve".