6766848 has 144 divisors (see below), whose sum is σ = 22075200. Its totient is φ = 2027520.

The previous prime is 6766843. The next prime is 6766861. The reversal of 6766848 is 8486676.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (6766843) 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 15 ways as a sum of consecutive naturals, for example, 75988 + ... + 76076.

It is an arithmetic number, because the mean of its divisors is an integer number (153300).

Almost surely, 2^6766848 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 6766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037600).

6766848 is an abundant number, since it is smaller than the sum of its proper divisors (15308352).

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

6766848 is a wasteful number, since it uses less digits than its factorization.

6766848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

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

The square root of 6766848 is about 2601.3165897291. The cubic root of 6766848 is about 189.1452649902.

The spelling of 6766848 in words is "six million, seven hundred sixty-six thousand, eight hundred forty-eight".