13718880 has 144 divisors (see below), whose sum is σ = 53542944. Its totient is φ = 3133440.

The previous prime is 13718867. The next prime is 13718923. The reversal of 13718880 is 8881731.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9400 + ... + 10760.

It is an arithmetic number, because the mean of its divisors is an integer number (371826).

Almost surely, 2^13718880 is an apocalyptic number.

13718880 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 13718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26771472).

13718880 is an abundant number, since it is smaller than the sum of its proper divisors (39824064).

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

13718880 is a wasteful number, since it uses less digits than its factorization.

13718880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1378 counting only the distinct ones).

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

The square root of 13718880 is about 3703.9006466157. The cubic root of 13718880 is about 239.3901181634.

The spelling of 13718880 in words is "thirteen million, seven hundred eighteen thousand, eight hundred eighty".