13820048 has 80 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 5683200.

The previous prime is 13820047. The next prime is 13820083. The reversal of 13820048 is 84002831.

It is a junction number, because it is equal to n+sod(n) for n = 13819999 and 13820026.

It is not an unprimeable number, because it can be changed into a prime (13820041) 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, 92678 + ... + 92826.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^13820048 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 13820048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

13820048 is an abundant number, since it is smaller than the sum of its proper divisors (18320752).

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

13820048 is a wasteful number, since it uses less digits than its factorization.

13820048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 13820048 is about 3717.5325149889. The cubic root of 13820048 is about 239.9771274499.

Adding to 13820048 its reverse (84002831), we get a palindrome (97822879).

The spelling of 13820048 in words is "thirteen million, eight hundred twenty thousand, forty-eight".