6642216 has 128 divisors (see below), whose sum is σ = 22118400. Its totient is φ = 1805760.

The previous prime is 6642211. The next prime is 6642281. The reversal of 6642216 is 6122466.

It is a happy number.

6642216 is a `hidden beast` number, since 6 + 642 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6642216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34681 + ... + 34871.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

Almost surely, 2^6642216 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 6642216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11059200).

6642216 is an abundant number, since it is smaller than the sum of its proper divisors (15476184).

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

6642216 is a wasteful number, since it uses less digits than its factorization.

6642216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 6642216 is about 2577.2496968668. The cubic root of 6642216 is about 187.9768343268.

The spelling of 6642216 in words is "six million, six hundred forty-two thousand, two hundred sixteen".