6746688 has 168 divisors, whose sum is σ = 22466808. Its totient is φ = 1916928.

The previous prime is 6746683. The next prime is 6746713. The reversal of 6746688 is 8866476.

It is a happy number.

6746688 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 5419584 = 1152^2 + 2328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6746681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127270 + ... + 127322.

It is an arithmetic number, because the mean of its divisors is an integer number (133731).

Almost surely, 2^6746688 is an apocalyptic number.

6746688 is a gapful number since it is divisible by the number (68) 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 6746688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11233404).

6746688 is an abundant number, since it is smaller than the sum of its proper divisors (15720120).

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

6746688 is a wasteful number, since it uses less digits than its factorization.

6746688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

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

The square root of 6746688 is about 2597.4387384499. The cubic root of 6746688 is about 188.9572423642.

The spelling of 6746688 in words is "six million, seven hundred forty-six thousand, six hundred eighty-eight".