13632 has 28 divisors (see below), whose sum is σ = 36576. Its totient is φ = 4480.

The previous prime is 13627. The next prime is 13633. The reversal of 13632 is 23631.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13633) by changing a digit.

13632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157 + ... + 227.

2¹³⁶³² is an apocalyptic number.

13632 is a gapful number since it is divisible by the number (12) 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 13632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288).

13632 is an abundant number, since it is smaller than the sum of its proper divisors (22944).

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

13632 is an equidigital number, since it uses as much as digits as its factorization.

13632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 13632 is about 116.7561561546. The cubic root of 13632 is about 23.8883704793. Note that the first 3 decimals are identical.

Multiplying 13632 by its sum of digits (15), we get a triangular number (204480 = T₆₃₉).

Subtracting 13632 from its reverse (23631), we obtain a palindrome (9999).

The spelling of 13632 in words is "thirteen thousand, six hundred thirty-two".