13672638 has 48 divisors (see below), whose sum is σ = 35118720. Its totient is φ = 3905496.

The previous prime is 13672627. The next prime is 13672663. The reversal of 13672638 is 83627631.

It is a happy number.

13672638 is a `hidden beast` number, since 13 + 6 + 7 + 2 + 638 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1393 + ... + 5411.

It is an arithmetic number, because the mean of its divisors is an integer number (731640).

Almost surely, 2^13672638 is an apocalyptic number.

13672638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13672638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17559360).

13672638 is an abundant number, since it is smaller than the sum of its proper divisors (21446082).

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

13672638 is an equidigital number, since it uses as much as digits as its factorization.

13672638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4031 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13672638 is about 3697.6530394292. The cubic root of 13672638 is about 239.1208459664.

It can be divided in two parts, 1367 and 2638, that added together give a triangular number (4005 = T₈₉).

The spelling of 13672638 in words is "thirteen million, six hundred seventy-two thousand, six hundred thirty-eight".