13580416 has 48 divisors (see below), whose sum is σ = 29013390. Its totient is φ = 6309888.

The previous prime is 13580407. The next prime is 13580417. The reversal of 13580416 is 61408531.

It can be written as a sum of positive squares in only one way, i.e., 9985600 + 3594816 = 3160^2 + 1896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13580417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 171865 + ... + 171943.

Almost surely, 2^13580416 is an apocalyptic number.

13580416 is a gapful number since it is divisible by the number (16) 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 13580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14506695).

13580416 is an abundant number, since it is smaller than the sum of its proper divisors (15432974).

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

13580416 is an frugal number, since it uses more digits than its factorization.

13580416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 13580416 is about 3685.1615975422. The cubic root of 13580416 is about 238.5820089593.

Adding to 13580416 its reverse (61408531), we get a palindrome (74988947).

The spelling of 13580416 in words is "thirteen million, five hundred eighty thousand, four hundred sixteen".