13189632 has 80 divisors (see below), whose sum is σ = 36402432. Its totient is φ = 4239360.

The previous prime is 13189619. The next prime is 13189639. The reversal of 13189632 is 23698131.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13189593 and 13189602.

It is not an unprimeable number, because it can be changed into a prime (13189639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47478 + ... + 47754.

Almost surely, 2^13189632 is an apocalyptic number.

13189632 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 13189632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201216).

13189632 is an abundant number, since it is smaller than the sum of its proper divisors (23212800).

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

13189632 is an equidigital number, since it uses as much as digits as its factorization.

13189632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 13189632 is about 3631.7532955860. The cubic root of 13189632 is about 236.2712575704.

The spelling of 13189632 in words is "thirteen million, one hundred eighty-nine thousand, six hundred thirty-two".