13607160 has 128 divisors (see below), whose sum is σ = 47416320. Its totient is φ = 3059712.

The previous prime is 13607149. The next prime is 13607189. The reversal of 13607160 is 6170631.

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 13607160.

It is a congruent number.

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, 81397 + ... + 81563.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 2^13607160 is an apocalyptic number.

13607160 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 13607160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708160).

13607160 is an abundant number, since it is smaller than the sum of its proper divisors (33809160).

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

13607160 is a wasteful number, since it uses less digits than its factorization.

13607160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 13607160 is about 3688.7884189799. The cubic root of 13607160 is about 238.7385199564.

Adding to 13607160 its reverse (6170631), we get a palindrome (19777791).

Subtracting from 13607160 its reverse (6170631), we obtain a square (7436529 = 2727²).

The spelling of 13607160 in words is "thirteen million, six hundred seven thousand, one hundred sixty".