13617960 has 64 divisors (see below), whose sum is σ = 41100480. Its totient is φ = 3609600.

The previous prime is 13617953. The next prime is 13617977. The reversal of 13617960 is 6971631.

It is a super-3 number, since 3×13617960³ (a number of 22 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 33760 + ... + 34160.

It is an arithmetic number, because the mean of its divisors is an integer number (642195).

Almost surely, 2^13617960 is an apocalyptic number.

13617960 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 13617960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20550240).

13617960 is an abundant number, since it is smaller than the sum of its proper divisors (27482520).

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

13617960 is a wasteful number, since it uses less digits than its factorization.

13617960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 13617960 is about 3690.2520239138. The cubic root of 13617960 is about 238.8016654907.

The spelling of 13617960 in words is "thirteen million, six hundred seventeen thousand, nine hundred sixty".