13936560 has 80 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 3377920.

The previous prime is 13936547. The next prime is 13936579. The reversal of 13936560 is 6563931.

13936560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

13936560 is a nontrivial binomial coefficient, being equal to C(5280, 2).

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

It is a super-3 number, since 3×13936560³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 5279.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 2^13936560 is an apocalyptic number.

13936560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13936560 is the 5279-th triangular number and also the 2640-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13936560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

13936560 is an abundant number, since it is smaller than the sum of its proper divisors (33203280).

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

13936560 is a wasteful number, since it uses less digits than its factorization.

13936560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 13936560 is about 3733.1702345326. The cubic root of 13936560 is about 240.6496288953.

The spelling of 13936560 in words is "thirteen million, nine hundred thirty-six thousand, five hundred sixty".