13127632 has 80 divisors (see below), whose sum is σ = 31744000. Its totient is φ = 5132160.

The previous prime is 13127603. The next prime is 13127669. The reversal of 13127632 is 23672131.

It is a junction number, because it is equal to n+sod(n) for n = 13127597 and 13127606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65869 + ... + 66067.

It is an arithmetic number, because the mean of its divisors is an integer number (396800).

Almost surely, 2^13127632 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 13127632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872000).

13127632 is an abundant number, since it is smaller than the sum of its proper divisors (18616368).

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

13127632 is a wasteful number, since it uses less digits than its factorization.

13127632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The square root of 13127632 is about 3623.2074188487. The cubic root of 13127632 is about 235.9004655436.

Adding to 13127632 its reverse (23672131), we get a palindrome (36799763).

The spelling of 13127632 in words is "thirteen million, one hundred twenty-seven thousand, six hundred thirty-two".