6687360 has 192 divisors, whose sum is σ = 24504480. Its totient is φ = 1741824.

The previous prime is 6687353. The next prime is 6687367. The reversal of 6687360 is 637866.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6687353) and next prime (6687367).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6687367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155499 + ... + 155541.

Almost surely, 2^6687360 is an apocalyptic number.

6687360 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 6687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12252240).

6687360 is an abundant number, since it is smaller than the sum of its proper divisors (17817120).

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

6687360 is an equidigital number, since it uses as much as digits as its factorization.

6687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6687360 is about 2585.9930394338. The cubic root of 6687360 is about 188.4017363628.

Adding to 6687360 its sum of digits (36), we get a square (6687396 = 2586²).

The spelling of 6687360 in words is "six million, six hundred eighty-seven thousand, three hundred sixty".