13842048 has 128 divisors (see below), whose sum is σ = 41860800. Its totient is φ = 4014080.

The previous prime is 13842043. The next prime is 13842053. The reversal of 13842048 is 84024831.

It is an interprime number because it is at equal distance from previous prime (13842043) and next prime (13842053).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (13842043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122440 + ... + 122552.

Almost surely, 2^13842048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13842048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930400).

13842048 is an abundant number, since it is smaller than the sum of its proper divisors (28018752).

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

13842048 is a wasteful number, since it uses less digits than its factorization.

13842048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 13842048 is about 3720.4902902709. The cubic root of 13842048 is about 240.1043990247.

Adding to 13842048 its reverse (84024831), we get a palindrome (97866879).

The spelling of 13842048 in words is "thirteen million, eight hundred forty-two thousand, forty-eight".