13842816 has 128 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 4098048.

The previous prime is 13842809. The next prime is 13842817. The reversal of 13842816 is 61824831.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13842817) 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, 234595 + ... + 234653.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 2^13842816 is an apocalyptic number.

13842816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

13842816 is an abundant number, since it is smaller than the sum of its proper divisors (27283584).

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

13842816 is a wasteful number, since it uses less digits than its factorization.

13842816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 13842816 is about 3720.5935010425. The cubic root of 13842816 is about 240.1088395229.

The spelling of 13842816 in words is "thirteen million, eight hundred forty-two thousand, eight hundred sixteen".