13644560 has 20 divisors (see below), whose sum is σ = 31723788. Its totient is φ = 5457792.

The previous prime is 13644551. The next prime is 13644569. The reversal of 13644560 is 6544631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13644551) and next prime (13644569).

It can be written as a sum of positive squares in 2 ways, for example, as 1893376 + 11751184 = 1376^2 + 3428^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (13644569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85199 + ... + 85358.

Almost surely, 2^13644560 is an apocalyptic number.

13644560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13644560 is an abundant number, since it is smaller than the sum of its proper divisors (18079228).

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

13644560 is a wasteful number, since it uses less digits than its factorization.

13644560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170570 (or 170564 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 13644560 is about 3693.8543555479. The cubic root of 13644560 is about 238.9570483554.

The spelling of 13644560 in words is "thirteen million, six hundred forty-four thousand, five hundred sixty".