13742638 has 64 divisors (see below), whose sum is σ = 27417600. Its totient is φ = 5122656.

The previous prime is 13742633. The next prime is 13742639. The reversal of 13742638 is 83624731.

It is a happy number.

13742638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (24192) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13742633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205081 + ... + 205147.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 2^13742638 is an apocalyptic number.

13742638 is a deficient number, since it is larger than the sum of its proper divisors (13674962).

13742638 is a wasteful number, since it uses less digits than its factorization.

13742638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 13742638 is about 3707.1064187584. The cubic root of 13742638 is about 239.5282283315.

The spelling of 13742638 in words is "thirteen million, seven hundred forty-two thousand, six hundred thirty-eight".