6612444 has 36 divisors (see below), whose sum is σ = 16923816. Its totient is φ = 2176608.

The previous prime is 6612427. The next prime is 6612449. The reversal of 6612444 is 4442166.

6612444 is a `hidden beast` number, since 6 + 612 + 4 + 44 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6612449) 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, 1882 + ... + 4094.

It is an arithmetic number, because the mean of its divisors is an integer number (470106).

Almost surely, 2^6612444 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 6612444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8461908).

6612444 is an abundant number, since it is smaller than the sum of its proper divisors (10311372).

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

6612444 is a wasteful number, since it uses less digits than its factorization.

6612444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2301 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 6612444 is about 2571.4672854229. The cubic root of 6612444 is about 187.6955612933.

It can be divided in two parts, 6612 and 444, that added together give a square (7056 = 84²).

The spelling of 6612444 in words is "six million, six hundred twelve thousand, four hundred forty-four".