6538560 has 168 divisors, whose sum is σ = 24323040. Its totient is φ = 1483776.

The previous prime is 6538559. The next prime is 6538561. The reversal of 6538560 is 658356.

It is an interprime number because it is at equal distance from previous prime (6538559) and next prime (6538561).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6538561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46971 + ... + 47109.

It is an arithmetic number, because the mean of its divisors is an integer number (144780).

Almost surely, 2^6538560 is an apocalyptic number.

6538560 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 6538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12161520).

6538560 is an abundant number, since it is smaller than the sum of its proper divisors (17784480).

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

6538560 is a wasteful number, since it uses less digits than its factorization.

6538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 6538560 is about 2557.0608127301. The cubic root of 6538560 is about 186.9938705608.

The spelling of 6538560 in words is "six million, five hundred thirty-eight thousand, five hundred sixty".