13406016 has 112 divisors (see below), whose sum is σ = 39428928. Its totient is φ = 3993600.

The previous prime is 13406011. The next prime is 13406017. The reversal of 13406016 is 61060431.

It is a junction number, because it is equal to n+sod(n) for n = 13405983 and 13406001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13406011) 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, 102271 + ... + 102401.

It is an arithmetic number, because the mean of its divisors is an integer number (352044).

Almost surely, 2^13406016 is an apocalyptic number.

13406016 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 13406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19714464).

13406016 is an abundant number, since it is smaller than the sum of its proper divisors (26022912).

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

13406016 is a wasteful number, since it uses less digits than its factorization.

13406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13406016 is about 3661.4226743166. The cubic root of 13406016 is about 237.5563138854.

Adding to 13406016 its reverse (61060431), we get a palindrome (74466447).

The spelling of 13406016 in words is "thirteen million, four hundred six thousand, sixteen".