12638832 has 40 divisors (see below), whose sum is σ = 32855040. Its totient is φ = 4186560.

The previous prime is 12638827. The next prime is 12638839. The reversal of 12638832 is 23883621.

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 = 12638793 and 12638802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12638839) 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, 7857 + ... + 9327.

It is an arithmetic number, because the mean of its divisors is an integer number (821376).

Almost surely, 2^12638832 is an apocalyptic number.

12638832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12638832 is an abundant number, since it is smaller than the sum of its proper divisors (20216208).

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

12638832 is a wasteful number, since it uses less digits than its factorization.

12638832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1655 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 12638832 is about 3555.1135002978. The cubic root of 12638832 is about 232.9354816544.

The spelling of 12638832 in words is "twelve million, six hundred thirty-eight thousand, eight hundred thirty-two".