6628416 has 112 divisors (see below), whose sum is σ = 19507200. Its totient is φ = 1976832.

The previous prime is 6628411. The next prime is 6628417. The reversal of 6628416 is 6148266.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (6628411) 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 15 ways as a sum of consecutive naturals, for example, 83865 + ... + 83943.

Almost surely, 2^6628416 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 6628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753600).

6628416 is an abundant number, since it is smaller than the sum of its proper divisors (12878784).

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

6628416 is a wasteful number, since it uses less digits than its factorization.

6628416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 6628416 is about 2574.5710322304. The cubic root of 6628416 is about 187.8465625975.

It can be divided in two parts, 66 and 28416, that added together give a palindrome (28482).

The spelling of 6628416 in words is "six million, six hundred twenty-eight thousand, four hundred sixteen".