13408416 has 120 divisors (see below), whose sum is σ = 45128160. Its totient is φ = 3825792.

The previous prime is 13408397. The next prime is 13408463. The reversal of 13408416 is 61480431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 13408416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17775 + ... + 18513.

It is an arithmetic number, because the mean of its divisors is an integer number (376068).

Almost surely, 2^13408416 is an apocalyptic number.

13408416 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 13408416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22564080).

13408416 is an abundant number, since it is smaller than the sum of its proper divisors (31719744).

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

13408416 is an equidigital number, since it uses as much as digits as its factorization.

13408416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13408416 is about 3661.7504011060. The cubic root of 13408416 is about 237.5704891416.

Adding to 13408416 its reverse (61480431), we get a palindrome (74888847).

It can be divided in two parts, 13408 and 416, that added together give a cube (13824 = 24³).

The spelling of 13408416 in words is "thirteen million, four hundred eight thousand, four hundred sixteen".