13618960 has 80 divisors (see below), whose sum is σ = 33587136. Its totient is φ = 5128704.

The previous prime is 13618949. The next prime is 13618961. The reversal of 13618960 is 6981631.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13618961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 127227 + ... + 127333.

Almost surely, 2^13618960 is an apocalyptic number.

13618960 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 13618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793568).

13618960 is an abundant number, since it is smaller than the sum of its proper divisors (19968176).

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

13618960 is a wasteful number, since it uses less digits than its factorization.

13618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 13618960 is about 3690.3875135275. The cubic root of 13618960 is about 238.8075106104.

The spelling of 13618960 in words is "thirteen million, six hundred eighteen thousand, nine hundred sixty".