6542016 has 56 divisors (see below), whose sum is σ = 18647664. Its totient is φ = 2012160.

The previous prime is 6541999. The next prime is 6542021. The reversal of 6542016 is 6102456.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1186 + ... + 3806.

It is an arithmetic number, because the mean of its divisors is an integer number (332994).

Almost surely, 2^6542016 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 6542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9323832).

6542016 is an abundant number, since it is smaller than the sum of its proper divisors (12105648).

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

6542016 is a wasteful number, since it uses less digits than its factorization.

6542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6542016 is about 2557.7364993290. The cubic root of 6542016 is about 187.0268103819.

Adding to 6542016 its product of nonzero digits (1440), we get a palindrome (6543456).

The spelling of 6542016 in words is "six million, five hundred forty-two thousand, sixteen".