6516540 has 72 divisors (see below), whose sum is σ = 20271888. Its totient is φ = 1693440.

The previous prime is 6516539. The next prime is 6516553. The reversal of 6516540 is 456156.

It is a happy number.

6516540 is a `hidden beast` number, since 6 + 5 + 1 + 654 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6939 + ... + 7821.

It is an arithmetic number, because the mean of its divisors is an integer number (281554).

Almost surely, 2^6516540 is an apocalyptic number.

6516540 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 6516540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10135944).

6516540 is an abundant number, since it is smaller than the sum of its proper divisors (13755348).

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

6516540 is a wasteful number, since it uses less digits than its factorization.

6516540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6516540 is about 2552.7514567619. The cubic root of 6516540 is about 186.7837205174.

It can be divided in two parts, 6516 and 540, that added together give a square (7056 = 84²).

The spelling of 6516540 in words is "six million, five hundred sixteen thousand, five hundred forty".