12718160 has 80 divisors (see below), whose sum is σ = 36414336. Its totient is φ = 4022784.

The previous prime is 12718157. The next prime is 12718171. The reversal of 12718160 is 6181721.

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 (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6407 + ... + 8153.

Almost surely, 2^12718160 is an apocalyptic number.

12718160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12718160 is the 2912-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12718160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18207168).

12718160 is an abundant number, since it is smaller than the sum of its proper divisors (23696176).

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

12718160 is a wasteful number, since it uses less digits than its factorization.

12718160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 12718160 is about 3566.2529355053. The cubic root of 12718160 is about 233.4218077182.

Adding to 12718160 its reverse (6181721), we get a palindrome (18899881).

The spelling of 12718160 in words is "twelve million, seven hundred eighteen thousand, one hundred sixty".