13506416 has 80 divisors (see below), whose sum is σ = 34402560. Its totient is φ = 4976640.

The previous prime is 13506413. The next prime is 13506439. The reversal of 13506416 is 61460531.

13506416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13506413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23120 + ... + 23696.

It is an arithmetic number, because the mean of its divisors is an integer number (430032).

Almost surely, 2^13506416 is an apocalyptic number.

13506416 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 13506416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17201280).

13506416 is an abundant number, since it is smaller than the sum of its proper divisors (20896144).

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

13506416 is a wasteful number, since it uses less digits than its factorization.

13506416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 13506416 is about 3675.1076174719. The cubic root of 13506416 is about 238.1478731734.

Adding to 13506416 its reverse (61460531), we get a palindrome (74966947).

The spelling of 13506416 in words is "thirteen million, five hundred six thousand, four hundred sixteen".