6488672 has 36 divisors (see below), whose sum is σ = 13262508. Its totient is φ = 3124800.

The previous prime is 6488639. The next prime is 6488681. The reversal of 6488672 is 2768846.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 30647 + ... + 30857.

It is an arithmetic number, because the mean of its divisors is an integer number (368403).

Almost surely, 2^6488672 is an apocalyptic number.

6488672 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6488672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631254).

6488672 is an abundant number, since it is smaller than the sum of its proper divisors (6773836).

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

6488672 is a wasteful number, since it uses less digits than its factorization.

6488672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 244 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 6488672 is about 2547.2871844376. The cubic root of 6488672 is about 186.5170797057.

The spelling of 6488672 in words is "six million, four hundred eighty-eight thousand, six hundred seventy-two".