6543000 has 96 divisors (see below), whose sum is σ = 22145760. Its totient is φ = 1742400.

The previous prime is 6542993. The next prime is 6543001. The reversal of 6543000 is 3456.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6543001) 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, 8637 + ... + 9363.

It is an arithmetic number, because the mean of its divisors is an integer number (230685).

Almost surely, 2^6543000 is an apocalyptic number.

6543000 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 6543000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11072880).

6543000 is an abundant number, since it is smaller than the sum of its proper divisors (15602760).

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

6543000 is a wasteful number, since it uses less digits than its factorization.

6543000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 6543000 is about 2557.9288496751. The cubic root of 6543000 is about 187.0361869592.

Adding to 6543000 its reverse (3456), we get a palindrome (6546456).

The spelling of 6543000 in words is "six million, five hundred forty-three thousand".