13718000 has 80 divisors (see below), whose sum is σ = 35012640. Its totient is φ = 5198400.

The previous prime is 13717993. The next prime is 13718017. The reversal of 13718000 is 81731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 721991 + ... + 722009.

It is an arithmetic number, because the mean of its divisors is an integer number (437658).

Almost surely, 2^13718000 is an apocalyptic number.

13718000 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 13718000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17506320).

13718000 is an abundant number, since it is smaller than the sum of its proper divisors (21294640).

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

13718000 is an frugal number, since it uses more digits than its factorization.

13718000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 13718000 is about 3703.7818510274. The cubic root of 13718000 is about 239.3849994800.

Adding to 13718000 its reverse (81731), we get a palindrome (13799731).

The spelling of 13718000 in words is "thirteen million, seven hundred eighteen thousand".