6649128 has 80 divisors (see below), whose sum is σ = 19282560. Its totient is φ = 2138400.

The previous prime is 6649127. The next prime is 6649141. The reversal of 6649128 is 8219466.

6649128 is a `hidden beast` number, since 6 + 649 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 6649092 and 6649101.

It is not an unprimeable number, because it can be changed into a prime (6649127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19923 + ... + 20253.

It is an arithmetic number, because the mean of its divisors is an integer number (241032).

Almost surely, 2^6649128 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 6649128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9641280).

6649128 is an abundant number, since it is smaller than the sum of its proper divisors (12633432).

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

6649128 is a wasteful number, since it uses less digits than its factorization.

6649128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6649128 is about 2578.5903125545. The cubic root of 6649128 is about 188.0420156584.

It can be divided in two parts, 66 and 49128, that added together give a palindrome (49194).

The spelling of 6649128 in words is "six million, six hundred forty-nine thousand, one hundred twenty-eight".