6885648 has 240 divisors, whose sum is σ = 25998336. Its totient is φ = 1710720.

The previous prime is 6885647. The next prime is 6885649. The reversal of 6885648 is 8465886.

6885648 is a `hidden beast` number, since 6 + 88 + 564 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6885647) and next prime (6885649).

Its product of digits (368640) is a multiple of the sum of its prime factors (64).

It is not an unprimeable number, because it can be changed into a prime (6885647) 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 47 ways as a sum of consecutive naturals, for example, 299365 + ... + 299387.

Almost surely, 2^6885648 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 6885648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999168).

6885648 is an abundant number, since it is smaller than the sum of its proper divisors (19112688).

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

6885648 is a wasteful number, since it uses less digits than its factorization.

6885648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 46 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 6885648 is about 2624.0518287564. The cubic root of 6885648 is about 190.2457392809.

It can be divided in two parts, 688 and 5648, that added together give a palindrome (6336).

The spelling of 6885648 in words is "six million, eight hundred eighty-five thousand, six hundred forty-eight".