6687144 has 64 divisors (see below), whose sum is σ = 18849600. Its totient is φ = 2196288.

The previous prime is 6687143. The next prime is 6687167. The reversal of 6687144 is 4417866.

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

It is a junction number, because it is equal to n+sod(n) for n = 6687099 and 6687108.

It is not an unprimeable number, because it can be changed into a prime (6687143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17742 + ... + 18114.

It is an arithmetic number, because the mean of its divisors is an integer number (294525).

Almost surely, 2^6687144 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 6687144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424800).

6687144 is an abundant number, since it is smaller than the sum of its proper divisors (12162456).

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

6687144 is a wasteful number, since it uses less digits than its factorization.

6687144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 6687144 is about 2585.9512756431. The cubic root of 6687144 is about 188.3997078984.

The spelling of 6687144 in words is "six million, six hundred eighty-seven thousand, one hundred forty-four".