6687720 has 96 divisors (see below), whose sum is σ = 23423400. Its totient is φ = 1645056.

The previous prime is 6687701. The next prime is 6687757. The reversal of 6687720 is 277866.

It can be written as a sum of positive squares in 4 ways, for example, as 2452356 + 4235364 = 1566^2 + 2058^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3966 + ... + 5394.

Almost surely, 2^6687720 is an apocalyptic number.

6687720 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 6687720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11711700).

6687720 is an abundant number, since it is smaller than the sum of its proper divisors (16735680).

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

6687720 is a wasteful number, since it uses less digits than its factorization.

6687720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6687720 is about 2586.0626442528. The cubic root of 6687720 is about 188.4051170395.

The spelling of 6687720 in words is "six million, six hundred eighty-seven thousand, seven hundred twenty".