6544512 has 192 divisors, whose sum is σ = 22276800. Its totient is φ = 1824768.

The previous prime is 6544487. The next prime is 6544547. The reversal of 6544512 is 2154456.

6544512 is a `hidden beast` number, since 654 + 4 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (4800) is a multiple of the sum of its prime divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284533 + ... + 284555.

It is an arithmetic number, because the mean of its divisors is an integer number (116025).

Almost surely, 2^6544512 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 6544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138400).

6544512 is an abundant number, since it is smaller than the sum of its proper divisors (15732288).

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

6544512 is a wasteful number, since it uses less digits than its factorization.

6544512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 6544512 is about 2558.2243842165. The cubic root of 6544512 is about 187.0505930386.

Adding to 6544512 its reverse (2154456), we get a palindrome (8698968).

It can be divided in two parts, 6544 and 512, that added together give a square (7056 = 84²).

The spelling of 6544512 in words is "six million, five hundred forty-four thousand, five hundred twelve".