6688800 has 108 divisors (see below), whose sum is σ = 23611770. Its totient is φ = 1781760.

The previous prime is 6688793. The next prime is 6688807. The reversal of 6688800 is 88866.

It is an interprime number because it is at equal distance from previous prime (6688793) and next prime (6688807).

It can be written as a sum of positive squares in 3 ways, for example, as 2862864 + 3825936 = 1692^2 + 1956^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6688807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6736 + ... + 7664.

Almost surely, 2^6688800 is an apocalyptic number.

6688800 is a gapful number since it is divisible by the number (60) 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 6688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11805885).

6688800 is an abundant number, since it is smaller than the sum of its proper divisors (16922970).

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

6688800 is a wasteful number, since it uses less digits than its factorization.

6688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6688800 is about 2586.2714474703. The cubic root of 6688800 is about 188.4152583420.

The spelling of 6688800 in words is "six million, six hundred eighty-eight thousand, eight hundred".