6540976 has 60 divisors (see below), whose sum is σ = 14295960. Its totient is φ = 2895360.

The previous prime is 6540967. The next prime is 6540977. The reversal of 6540976 is 6790456.

It is not an unprimeable number, because it can be changed into a prime (6540977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110835 + ... + 110893.

It is an arithmetic number, because the mean of its divisors is an integer number (238266).

Almost surely, 2^6540976 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 6540976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147980).

6540976 is an abundant number, since it is smaller than the sum of its proper divisors (7754984).

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

6540976 is a wasteful number, since it uses less digits than its factorization.

6540976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 6540976 is about 2557.5331864905. The cubic root of 6540976 is about 187.0168991562.

It can be divided in two parts, 65 and 40976, that added together give a triangular number (41041 = T₂₈₆).

The spelling of 6540976 in words is "six million, five hundred forty thousand, nine hundred seventy-six".