6540416 has 32 divisors (see below), whose sum is σ = 13391580. Its totient is φ = 3179520.

The previous prime is 6540409. The next prime is 6540421. The reversal of 6540416 is 6140456.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6270016 + 270400 = 2504^2 + 520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4046 + ... + 5426.

Almost surely, 2^6540416 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 6540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695790).

6540416 is an abundant number, since it is smaller than the sum of its proper divisors (6851164).

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

6540416 is a wasteful number, since it uses less digits than its factorization.

6540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 6540416 is about 2557.4237036518. The cubic root of 6540416 is about 187.0115619073.

The spelling of 6540416 in words is "six million, five hundred forty thousand, four hundred sixteen".