536616640 has 112 divisors (see below), whose sum is σ = 1490472000. Its totient is φ = 183945216.

The previous prime is 536616637. The next prime is 536616643. The reversal of 536616640 is 46616635.

It is an interprime number because it is at equal distance from previous prime (536616637) and next prime (536616643).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 536616640.

It is not an unprimeable number, because it can be changed into a prime (536616643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107316 + ... + 112204.

Almost surely, 2^536616640 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 536616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745236000).

536616640 is an abundant number, since it is smaller than the sum of its proper divisors (953855360).

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

536616640 is an equidigital number, since it uses as much as digits as its factorization.

536616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 536616640 is about 23164.9873731889. The cubic root of 536616640 is about 812.6210073027.

The spelling of 536616640 in words is "five hundred thirty-six million, six hundred sixteen thousand, six hundred forty".