6541800 has 48 divisors (see below), whose sum is σ = 20281440. Its totient is φ = 1744320.

The previous prime is 6541771. The next prime is 6541807. The reversal of 6541800 is 81456.

6541800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6541807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4852 + ... + 6051.

It is an arithmetic number, because the mean of its divisors is an integer number (422530).

Almost surely, 2^6541800 is an apocalyptic number.

6541800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6541800 is an abundant number, since it is smaller than the sum of its proper divisors (13739640).

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

6541800 is a wasteful number, since it uses less digits than its factorization.

6541800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10922 (or 10913 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 6541800 is about 2557.6942741461. The cubic root of 6541800 is about 187.0247519830.

The spelling of 6541800 in words is "six million, five hundred forty-one thousand, eight hundred".