13883800 has 96 divisors (see below), whose sum is σ = 37854720. Its totient is φ = 4636800.

The previous prime is 13883791. The next prime is 13883801. The reversal of 13883800 is 838831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13883801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65695 + ... + 65905.

It is an arithmetic number, because the mean of its divisors is an integer number (394320).

Almost surely, 2^13883800 is an apocalyptic number.

13883800 is a gapful number since it is divisible by the number (10) 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 13883800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18927360).

13883800 is an abundant number, since it is smaller than the sum of its proper divisors (23970920).

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

13883800 is a wasteful number, since it uses less digits than its factorization.

13883800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 13883800 is about 3726.0971538595. The cubic root of 13883800 is about 240.3455670070.

It can be divided in two parts, 138 and 83800, that added together give a palindrome (83938).

The spelling of 13883800 in words is "thirteen million, eight hundred eighty-three thousand, eight hundred".