6541080 has 128 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 1377792.

The previous prime is 6541079. The next prime is 6541081. The reversal of 6541080 is 801456.

It is an interprime number because it is at equal distance from previous prime (6541079) and next prime (6541081).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6541080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10621 + ... + 11219.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^6541080 is an apocalyptic number.

6541080 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 6541080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

6541080 is an abundant number, since it is smaller than the sum of its proper divisors (17650920).

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

6541080 is a wasteful number, since it uses less digits than its factorization.

6541080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

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

The square root of 6541080 is about 2557.5535185016. The cubic root of 6541080 is about 187.0178903261.

The spelling of 6541080 in words is "six million, five hundred forty-one thousand, eighty".