6687648 has 72 divisors (see below), whose sum is σ = 20756736. Its totient is φ = 2025600.

The previous prime is 6687631. The next prime is 6687689. The reversal of 6687648 is 8467866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2113 + ... + 4223.

It is an arithmetic number, because the mean of its divisors is an integer number (288288).

Almost surely, 2^6687648 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 6687648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378368).

6687648 is an abundant number, since it is smaller than the sum of its proper divisors (14069088).

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

6687648 is a wasteful number, since it uses less digits than its factorization.

6687648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2127 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 6687648 is about 2586.0487234389. The cubic root of 6687648 is about 188.4044409139.

The spelling of 6687648 in words is "six million, six hundred eighty-seven thousand, six hundred forty-eight".