6536720 has 40 divisors (see below), whose sum is σ = 15367320. Its totient is φ = 2585600.

The previous prime is 6536707. The next prime is 6536723. The reversal of 6536720 is 276356.

It can be written as a sum of positive squares in 4 ways, for example, as 3564544 + 2972176 = 1888^2 + 1724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6536723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7676 + ... + 8484.

It is an arithmetic number, because the mean of its divisors is an integer number (384183).

Almost surely, 2^6536720 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 6536720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683660).

6536720 is an abundant number, since it is smaller than the sum of its proper divisors (8830600).

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

6536720 is a wasteful number, since it uses less digits than its factorization.

6536720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 6536720 is about 2556.7009993349. The cubic root of 6536720 is about 186.9763284210.

The spelling of 6536720 in words is "six million, five hundred thirty-six thousand, seven hundred twenty".