13508416 has 28 divisors (see below), whose sum is σ = 27139392. Its totient is φ = 6670208.

The previous prime is 13508413. The next prime is 13508423. The reversal of 13508416 is 61480531.

13508416 = T₂₇₅ + T₂₇₆ + ... + T₄₆₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13508413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4041 + ... + 6583.

It is an arithmetic number, because the mean of its divisors is an integer number (969264).

Almost surely, 2^13508416 is an apocalyptic number.

13508416 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 13508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13569696).

13508416 is an abundant number, since it is smaller than the sum of its proper divisors (13630976).

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

13508416 is an equidigital number, since it uses as much as digits as its factorization.

13508416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2628 counting only the distinct ones).

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

The square root of 13508416 is about 3675.3797082751. The cubic root of 13508416 is about 238.1596273955.

Adding to 13508416 its reverse (61480531), we get a palindrome (74988947).

It can be divided in two parts, 13508 and 416, that added together give a square (13924 = 118²).

The spelling of 13508416 in words is "thirteen million, five hundred eight thousand, four hundred sixteen".