6541920 has 288 divisors, whose sum is σ = 28304640. Its totient is φ = 1336320.

The previous prime is 6541903. The next prime is 6541921. The reversal of 6541920 is 291456.

6541920 is a `hidden beast` number, since 654 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110851 + ... + 110909.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 2^6541920 is an apocalyptic number.

6541920 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 6541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

6541920 is an abundant number, since it is smaller than the sum of its proper divisors (21762720).

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

6541920 is a wasteful number, since it uses less digits than its factorization.

6541920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6541920 is about 2557.7177326672. The cubic root of 6541920 is about 187.0258955436.

The spelling of 6541920 in words is "six million, five hundred forty-one thousand, nine hundred twenty".