6688560 has 120 divisors (see below), whose sum is σ = 22163760. Its totient is φ = 1666560.

The previous prime is 6688559. The next prime is 6688573. The reversal of 6688560 is 658866.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215745 + ... + 215775.

It is an arithmetic number, because the mean of its divisors is an integer number (184698).

Almost surely, 2^6688560 is an apocalyptic number.

6688560 is a gapful number since it is divisible by the number (60) 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 6688560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11081880).

6688560 is an abundant number, since it is smaller than the sum of its proper divisors (15475200).

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

6688560 is a wasteful number, since it uses less digits than its factorization.

6688560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 6688560 is about 2586.2250482122. The cubic root of 6688560 is about 188.4130048136.

The spelling of 6688560 in words is "six million, six hundred eighty-eight thousand, five hundred sixty".