13487320 has 128 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 4032000.

The previous prime is 13487297. The next prime is 13487323. The reversal of 13487320 is 2378431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13487323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 89245 + ... + 89395.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 2^13487320 is an apocalyptic number.

13487320 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 13487320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

13487320 is an abundant number, since it is smaller than the sum of its proper divisors (25911080).

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

13487320 is a wasteful number, since it uses less digits than its factorization.

13487320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 13487320 is about 3672.5086793635. The cubic root of 13487320 is about 238.0355853859.

Subtracting from 13487320 its reverse (2378431), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1348 and 7320, that added together give a palindrome (8668).

The spelling of 13487320 in words is "thirteen million, four hundred eighty-seven thousand, three hundred twenty".