63536 has 30 divisors (see below), whose sum is σ = 141732. Its totient is φ = 27360.

The previous prime is 63533. The next prime is 63541.

63536 = T₈₁ + T₈₂ + ... + T₉₆.

63536 is nontrivially palindromic in base 10.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (63533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3335 + ... + 3353.

2⁶³⁵³⁶ 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 63536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70866).

63536 is an abundant number, since it is smaller than the sum of its proper divisors (78196).

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

63536 is a wasteful number, since it uses less digits than its factorization.

63536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 32 counting only the distinct ones).

The product of its digits is 1620, while the sum is 23.

The square root of 63536 is about 252.0634840670. The cubic root of 63536 is about 39.9030987767.

Adding to 63536 its product of digits (1620), we get a palindrome (65156).

Subtracting from 63536 its product of digits (1620), we obtain a palindrome (61916).

The spelling of 63536 in words is "sixty-three thousand, five hundred thirty-six".