13644432 has 60 divisors (see below), whose sum is σ = 40203280. Its totient is φ = 4307904.

The previous prime is 13644427. The next prime is 13644439. The reversal of 13644432 is 23444631.

13644432 is a `hidden beast` number, since 13 + 644 + 4 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13644396 and 13644405.

It is not an unprimeable number, because it can be changed into a prime (13644439) 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, 243 + ... + 5229.

Almost surely, 2^13644432 is an apocalyptic number.

13644432 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 13644432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20101640).

13644432 is an abundant number, since it is smaller than the sum of its proper divisors (26558848).

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

13644432 is a wasteful number, since it uses less digits than its factorization.

13644432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5011 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 13644432 is about 3693.8370294316. The cubic root of 13644432 is about 238.9563011321.

The spelling of 13644432 in words is "thirteen million, six hundred forty-four thousand, four hundred thirty-two".