6543264 has 144 divisors (see below), whose sum is σ = 21718368. Its totient is φ = 1709568.

The previous prime is 6543259. The next prime is 6543269. The reversal of 6543264 is 4623456.

6543264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6543259) and next prime (6543269).

It is a d-powerful number, because it can be written as 6³ + 5⁹ + 4⁹ + 3⁷ + 2¹⁷ + 6³ + 4¹¹ .

It is not an unprimeable number, because it can be changed into a prime (6543269) 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, 61099 + ... + 61205.

It is an arithmetic number, because the mean of its divisors is an integer number (150822).

Almost surely, 2^6543264 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 6543264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10859184).

6543264 is an abundant number, since it is smaller than the sum of its proper divisors (15175104).

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

6543264 is a wasteful number, since it uses less digits than its factorization.

6543264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 6543264 is about 2557.9804534046. The cubic root of 6543264 is about 187.0387024663.

The spelling of 6543264 in words is "six million, five hundred forty-three thousand, two hundred sixty-four".