13687520 has 144 divisors (see below), whose sum is σ = 41023584. Its totient is φ = 4224000.

The previous prime is 13687493. The next prime is 13687529. The reversal of 13687520 is 2578631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13687529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135470 + ... + 135570.

It is an arithmetic number, because the mean of its divisors is an integer number (284886).

Almost surely, 2^13687520 is an apocalyptic number.

13687520 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 13687520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20511792).

13687520 is an abundant number, since it is smaller than the sum of its proper divisors (27336064).

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

13687520 is a wasteful number, since it uses less digits than its factorization.

13687520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 13687520 is about 3699.6648496857. The cubic root of 13687520 is about 239.2075716369.

Subtracting from 13687520 its reverse (2578631), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1368 and 7520, that added together give a palindrome (8888).

The spelling of 13687520 in words is "thirteen million, six hundred eighty-seven thousand, five hundred twenty".