6540560 has 80 divisors (see below), whose sum is σ = 17290560. Its totient is φ = 2280960.

The previous prime is 6540557. The next prime is 6540587. The reversal of 6540560 is 650456.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6540560² = 85557850227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19595 + ... + 19925.

It is an arithmetic number, because the mean of its divisors is an integer number (216132).

Almost surely, 2^6540560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8645280).

6540560 is an abundant number, since it is smaller than the sum of its proper divisors (10750000).

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

6540560 is a wasteful number, since it uses less digits than its factorization.

6540560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 6540560 is about 2557.4518568294. The cubic root of 6540560 is about 187.0129343718.

The spelling of 6540560 in words is "six million, five hundred forty thousand, five hundred sixty".