6786648 has 144 divisors (see below), whose sum is σ = 21785400. Its totient is φ = 1900800.

The previous prime is 6786643. The next prime is 6786649. The reversal of 6786648 is 8466876.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6786643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165508 + ... + 165548.

Almost surely, 2^6786648 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 6786648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892700).

6786648 is an abundant number, since it is smaller than the sum of its proper divisors (14998752).

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

6786648 is a wasteful number, since it uses less digits than its factorization.

6786648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

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

The square root of 6786648 is about 2605.1195749908. The cubic root of 6786648 is about 189.3295669202.

The spelling of 6786648 in words is "six million, seven hundred eighty-six thousand, six hundred forty-eight".