13381632 has 156 divisors (see below), whose sum is σ = 43576120. Its totient is φ = 4055040.

The previous prime is 13381597. The next prime is 13381633. The reversal of 13381632 is 23618331.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (2592) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13381596 and 13381605.

It is not an unprimeable number, because it can be changed into a prime (13381633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1216507 + ... + 1216517.

Almost surely, 2^13381632 is an apocalyptic number.

13381632 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 13381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21788060).

13381632 is an abundant number, since it is smaller than the sum of its proper divisors (30194488).

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

13381632 is an equidigital number, since it uses as much as digits as its factorization.

13381632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 16 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13381632 is about 3658.0913055855. The cubic root of 13381632 is about 237.4121972759.

Multiplying 13381632 by its sum of digits (27), we get a square (361304064 = 19008²).

13381632 divided by its sum of digits (27) gives a square (495616 = 704²).

Adding to 13381632 its reverse (23618331), we get a palindrome (36999963).

The spelling of 13381632 in words is "thirteen million, three hundred eighty-one thousand, six hundred thirty-two".