6541568 has 72 divisors (see below), whose sum is σ = 15011136. Its totient is φ = 2816000.

The previous prime is 6541541. The next prime is 6541571. The reversal of 6541568 is 8651456.

It is a happy number.

6541568 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×6541568² = 85584223797248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64718 + ... + 64818.

It is an arithmetic number, because the mean of its divisors is an integer number (208488).

Almost surely, 2^6541568 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 6541568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505568).

6541568 is an abundant number, since it is smaller than the sum of its proper divisors (8469568).

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

6541568 is a wasteful number, since it uses less digits than its factorization.

6541568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its digits is 28800, while the sum is 35.

The square root of 6541568 is about 2557.6489203954. The cubic root of 6541568 is about 187.0225410597.

It can be divided in two parts, 654 and 1568, that added together give a palindrome (2222).

The spelling of 6541568 in words is "six million, five hundred forty-one thousand, five hundred sixty-eight".