13866560 has 56 divisors (see below), whose sum is σ = 34975800. Its totient is φ = 5218304.

The previous prime is 13866547. The next prime is 13866607. The reversal of 13866560 is 6566831.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 7795264 = 2464^2 + 2792^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13866560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4166 + ... + 6714.

Almost surely, 2^13866560 is an apocalyptic number.

13866560 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 13866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17487900).

13866560 is an abundant number, since it is smaller than the sum of its proper divisors (21109240).

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

13866560 is a wasteful number, since it uses less digits than its factorization.

13866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 13866560 is about 3723.7830226800. The cubic root of 13866560 is about 240.2460439700.

The spelling of 13866560 in words is "thirteen million, eight hundred sixty-six thousand, five hundred sixty".