6637680 has 160 divisors (see below), whose sum is σ = 26188800. Its totient is φ = 1513728.

The previous prime is 6637679. The next prime is 6637681. The reversal of 6637680 is 867366.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6637679) and next prime (6637681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6637681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14901 + ... + 15339.

It is an arithmetic number, because the mean of its divisors is an integer number (163680).

Almost surely, 2^6637680 is an apocalyptic number.

6637680 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 6637680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094400).

6637680 is an abundant number, since it is smaller than the sum of its proper divisors (19551120).

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

6637680 is a wasteful number, since it uses less digits than its factorization.

6637680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

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

The square root of 6637680 is about 2576.3695387114. The cubic root of 6637680 is about 187.9340344997.

The spelling of 6637680 in words is "six million, six hundred thirty-seven thousand, six hundred eighty".