13881780 has 240 divisors, whose sum is σ = 51226560. Its totient is φ = 3110400.

The previous prime is 13881773. The next prime is 13881781. The reversal of 13881780 is 8718831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13881781) 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 79 ways as a sum of consecutive naturals, for example, 338560 + ... + 338600.

It is an arithmetic number, because the mean of its divisors is an integer number (213444).

It is a vampire number, since it can be written as 1881 ⋅ 7380 (with its own digits).

Almost surely, 2^13881780 is an apocalyptic number.

13881780 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 13881780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613280).

13881780 is an abundant number, since it is smaller than the sum of its proper divisors (37344780).

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

13881780 is a wasteful number, since it uses less digits than its factorization.

13881780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 13881780 is about 3725.8260828976. The cubic root of 13881780 is about 240.3339102177. Note that the first 3 decimals are identical.

It can be divided in two parts, 138 and 81780, that added together give a palindrome (81918).

The spelling of 13881780 in words is "thirteen million, eight hundred eighty-one thousand, seven hundred eighty".