6540880 has 20 divisors (see below), whose sum is σ = 15207732. Its totient is φ = 2616320.

The previous prime is 6540871. The next prime is 6540893. The reversal of 6540880 is 880456.

It can be written as a sum of positive squares in 2 ways, for example, as 2572816 + 3968064 = 1604^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×6540880² = 85566222348800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40801 + ... + 40960.

Almost surely, 2^6540880 is an apocalyptic number.

It is an amenable number.

6540880 is an abundant number, since it is smaller than the sum of its proper divisors (8666852).

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

6540880 is a wasteful number, since it uses less digits than its factorization.

6540880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81774 (or 81768 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 6540880 is about 2557.5144183367. The cubic root of 6540880 is about 187.0159842209.

The spelling of 6540880 in words is "six million, five hundred forty thousand, eight hundred eighty".