6386560 has 64 divisors (see below), whose sum is σ = 16193520. Its totient is φ = 2400256.

The previous prime is 6386557. The next prime is 6386561. The reversal of 6386560 is 656836.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6386561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10587 + ... + 11173.

Almost surely, 2^6386560 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 6386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096760).

6386560 is an abundant number, since it is smaller than the sum of its proper divisors (9806960).

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

6386560 is a wasteful number, since it uses less digits than its factorization.

6386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 6386560 is about 2527.1644188695. The cubic root of 6386560 is about 185.5334977757.

The spelling of 6386560 in words is "six million, three hundred eighty-six thousand, five hundred sixty".