6506016 has 96 divisors (see below), whose sum is σ = 19123776. Its totient is φ = 1920000.

The previous prime is 6505997. The next prime is 6506023. The reversal of 6506016 is 6106056.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 64366 + ... + 64466.

It is an arithmetic number, because the mean of its divisors is an integer number (199206).

Almost surely, 2^6506016 is an apocalyptic number.

6506016 is a gapful number since it is divisible by the number (66) 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 6506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561888).

6506016 is an abundant number, since it is smaller than the sum of its proper divisors (12617760).

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

6506016 is a wasteful number, since it uses less digits than its factorization.

6506016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 6506016 is about 2550.6893185961. The cubic root of 6506016 is about 186.6831164642.

It can be divided in two parts, 650 and 6016, that added together give a palindrome (6666).

The spelling of 6506016 in words is "six million, five hundred six thousand, sixteen".