13418160 has 160 divisors (see below), whose sum is σ = 48806400. Its totient is φ = 3048192.

The previous prime is 13418159. The next prime is 13418173. The reversal of 13418160 is 6181431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13418160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82239 + ... + 82401.

It is an arithmetic number, because the mean of its divisors is an integer number (305040).

Almost surely, 2^13418160 is an apocalyptic number.

13418160 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 13418160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24403200).

13418160 is an abundant number, since it is smaller than the sum of its proper divisors (35388240).

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

13418160 is a wasteful number, since it uses less digits than its factorization.

13418160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 13418160 is about 3663.0806706924. The cubic root of 13418160 is about 237.6280233133.

Adding to 13418160 its reverse (6181431), we get a palindrome (19599591).

The spelling of 13418160 in words is "thirteen million, four hundred eighteen thousand, one hundred sixty".