6488768 has 56 divisors (see below), whose sum is σ = 15148560. Its totient is φ = 2718720.

The previous prime is 6488767. The next prime is 6488777. The reversal of 6488768 is 8678846.

It is a happy number.

It is a super-2 number, since 2×6488768² = 84208220315648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6488767) 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 7 ways as a sum of consecutive naturals, for example, 8798 + ... + 9506.

It is an arithmetic number, because the mean of its divisors is an integer number (270510).

Almost surely, 2^6488768 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 6488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574280).

6488768 is an abundant number, since it is smaller than the sum of its proper divisors (8659792).

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

6488768 is a wasteful number, since it uses less digits than its factorization.

6488768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 735 counting only the distinct ones).

The product of its digits is 516096, while the sum is 47.

The square root of 6488768 is about 2547.3060279440. The cubic root of 6488768 is about 186.5179995422.

The spelling of 6488768 in words is "six million, four hundred eighty-eight thousand, seven hundred sixty-eight".