6687200 has 72 divisors (see below), whose sum is σ = 17608248. Its totient is φ = 2465280.

The previous prime is 6687199. The next prime is 6687209. The reversal of 6687200 is 27866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6687209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10079 + ... + 10721.

It is an arithmetic number, because the mean of its divisors is an integer number (244559).

Almost surely, 2^6687200 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 6687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8804124).

6687200 is an abundant number, since it is smaller than the sum of its proper divisors (10921048).

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

6687200 is a wasteful number, since it uses less digits than its factorization.

6687200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 6687200 is about 2585.9621033573. The cubic root of 6687200 is about 188.4002338008.

The spelling of 6687200 in words is "six million, six hundred eighty-seven thousand, two hundred".