6385680 has 180 divisors, whose sum is σ = 25084332. Its totient is φ = 1451520.

The previous prime is 6385619. The next prime is 6385733. The reversal of 6385680 is 865836.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 5531904 = 924^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 35190 + ... + 35370.

Almost surely, 2^6385680 is an apocalyptic number.

6385680 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 6385680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542166).

6385680 is an abundant number, since it is smaller than the sum of its proper divisors (18698652).

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

6385680 is a wasteful number, since it uses less digits than its factorization.

6385680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6385680 is about 2526.9903046905. The cubic root of 6385680 is about 185.5249758705.

It can be divided in two parts, 63856 and 80, that added together give a palindrome (63936).

The spelling of 6385680 in words is "six million, three hundred eighty-five thousand, six hundred eighty".