63533536 has 48 divisors (see below), whose sum is σ = 137289600. Its totient is φ = 28702080.

The previous prime is 63533507. The next prime is 63533537.

63533536 is nontrivially palindromic in base 10.

63533536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63533537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69595 + ... + 70501.

It is an arithmetic number, because the mean of its divisors is an integer number (2860200).

Almost surely, 2^63533536 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 63533536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68644800).

63533536 is an abundant number, since it is smaller than the sum of its proper divisors (73756064).

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

63533536 is a wasteful number, since it uses less digits than its factorization.

63533536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1119 counting only the distinct ones).

The product of its digits is 72900, while the sum is 34.

The square root of 63533536 is about 7970.7926832907. The cubic root of 63533536 is about 399.0258294052.

It can be divided in two parts, 6353 and 3536, that added together give a palindrome (9889).

The spelling of 63533536 in words is "sixty-three million, five hundred thirty-three thousand, five hundred thirty-six".