6544000 has 64 divisors (see below), whose sum is σ = 16309800. Its totient is φ = 2611200.

The previous prime is 6543989. The next prime is 6544003. The reversal of 6544000 is 4456.

It can be written as a sum of positive squares in 4 ways, for example, as 3474496 + 3069504 = 1864^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (6544003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15796 + ... + 16204.

Almost surely, 2^6544000 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 6544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8154900).

6544000 is an abundant number, since it is smaller than the sum of its proper divisors (9765800).

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

6544000 is an equidigital number, since it uses as much as digits as its factorization.

6544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 6544000 is about 2558.1243128511. The cubic root of 6544000 is about 187.0457150380.

Adding to 6544000 its reverse (4456), we get a palindrome (6548456).

The spelling of 6544000 in words is "six million, five hundred forty-four thousand".