6540800 has 120 divisors (see below), whose sum is σ = 18774096. Its totient is φ = 2211840.

The previous prime is 6540739. The next prime is 6540827. The reversal of 6540800 is 80456.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89564 + ... + 89636.

Almost surely, 2^6540800 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 6540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387048).

6540800 is an abundant number, since it is smaller than the sum of its proper divisors (12233296).

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

6540800 is an equidigital number, since it uses as much as digits as its factorization.

6540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 6540800 is about 2557.4987781033. The cubic root of 6540800 is about 187.0152217680.

The spelling of 6540800 in words is "six million, five hundred forty thousand, eight hundred".