6541380 has 36 divisors (see below), whose sum is σ = 19842732. Its totient is φ = 1744320.

The previous prime is 6541373. The next prime is 6541393. The reversal of 6541380 is 831456.

6541380 is a `hidden beast` number, since 654 + 1 + 3 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 2762244 = 1944^2 + 1662^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 17991 + ... + 18350.

It is an arithmetic number, because the mean of its divisors is an integer number (551187).

Almost surely, 2^6541380 is an apocalyptic number.

6541380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6541380 is an abundant number, since it is smaller than the sum of its proper divisors (13301352).

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

6541380 is a wasteful number, since it uses less digits than its factorization.

6541380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36356 (or 36351 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6541380 is about 2557.6121676282. The cubic root of 6541380 is about 187.0207494110.

The spelling of 6541380 in words is "six million, five hundred forty-one thousand, three hundred eighty".