13712160 has 288 divisors, whose sum is σ = 55847232. Its totient is φ = 2795520.

The previous prime is 13712143. The next prime is 13712161. The reversal of 13712160 is 6121731.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13712161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258694 + ... + 258746.

It is an arithmetic number, because the mean of its divisors is an integer number (193914).

Almost surely, 2^13712160 is an apocalyptic number.

13712160 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 13712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27923616).

13712160 is an abundant number, since it is smaller than the sum of its proper divisors (42135072).

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

13712160 is a wasteful number, since it uses less digits than its factorization.

13712160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 13712160 is about 3702.9933837370. The cubic root of 13712160 is about 239.3510244878.

Adding to 13712160 its reverse (6121731), we get a palindrome (19833891).

The spelling of 13712160 in words is "thirteen million, seven hundred twelve thousand, one hundred sixty".