6543540 has 36 divisors (see below), whose sum is σ = 19849284. Its totient is φ = 1744896.

The previous prime is 6543533. The next prime is 6543541. The reversal of 6543540 is 453456.

6543540 = 55² + 56² + ... + 270².

6543540 is a `hidden beast` number, since 654 + 3 + 5 + 4 + 0 = 666.

6543540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2108304 + 4435236 = 1452^2 + 2106^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6543541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17997 + ... + 18356.

It is an arithmetic number, because the mean of its divisors is an integer number (551369).

Almost surely, 2^6543540 is an apocalyptic number.

6543540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6543540 is an abundant number, since it is smaller than the sum of its proper divisors (13305744).

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

6543540 is a wasteful number, since it uses less digits than its factorization.

6543540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36368 (or 36363 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 6543540 is about 2558.0344016451. The cubic root of 6543540 is about 187.0413322423.

Adding to 6543540 its reverse (453456), we get a palindrome (6996996).

The spelling of 6543540 in words is "six million, five hundred forty-three thousand, five hundred forty".