6788448 has 96 divisors (see below), whose sum is σ = 20250720. Its totient is φ = 2239488.

The previous prime is 6788447. The next prime is 6788449. The reversal of 6788448 is 8448876.

It is an interprime number because it is at equal distance from previous prime (6788447) and next prime (6788449).

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (344064) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6788443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69936 + ... + 70032.

It is an arithmetic number, because the mean of its divisors is an integer number (210945).

Almost surely, 2^6788448 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 6788448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10125360).

6788448 is an abundant number, since it is smaller than the sum of its proper divisors (13462272).

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

6788448 is an frugal number, since it uses more digits than its factorization.

6788448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 6788448 is about 2605.4650256720. The cubic root of 6788448 is about 189.3463038569.

The spelling of 6788448 in words is "six million, seven hundred eighty-eight thousand, four hundred forty-eight".