13389642 has 144 divisors (see below), whose sum is σ = 38413440. Its totient is φ = 3338496.

The previous prime is 13389617. The next prime is 13389647. The reversal of 13389642 is 24698331.

13389642 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 9 + 642 = 666.

13389642 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13389642 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 13389597 and 13389606.

It is not an unprimeable number, because it can be changed into a prime (13389647) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 284863 + ... + 284909.

It is an arithmetic number, because the mean of its divisors is an integer number (266760).

Almost surely, 2^13389642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13389642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206720).

13389642 is an abundant number, since it is smaller than the sum of its proper divisors (25023798).

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

13389642 is a wasteful number, since it uses less digits than its factorization.

13389642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13389642 is about 3659.1859750496. The cubic root of 13389642 is about 237.4595580261.

The spelling of 13389642 in words is "thirteen million, three hundred eighty-nine thousand, six hundred forty-two".