13883680 has 48 divisors (see below), whose sum is σ = 34534080. Its totient is φ = 5260032.

The previous prime is 13883669. The next prime is 13883689. The reversal of 13883680 is 8638831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13883689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757 + ... + 5323.

It is an arithmetic number, because the mean of its divisors is an integer number (719460).

Almost surely, 2^13883680 is an apocalyptic number.

13883680 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 13883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267040).

13883680 is an abundant number, since it is smaller than the sum of its proper divisors (20650400).

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

13883680 is a wasteful number, since it uses less digits than its factorization.

13883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 13883680 is about 3726.0810511850. The cubic root of 13883680 is about 240.3448745561.

The spelling of 13883680 in words is "thirteen million, eight hundred eighty-three thousand, six hundred eighty".