13688416 has 48 divisors (see below), whose sum is σ = 31407264. Its totient is φ = 5750784.

The previous prime is 13688407. The next prime is 13688419. The reversal of 13688416 is 61488631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13688419) 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 7 ways as a sum of consecutive naturals, for example, 11296 + ... + 12448.

It is an arithmetic number, because the mean of its divisors is an integer number (654318).

Almost surely, 2^13688416 is an apocalyptic number.

13688416 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 13688416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15703632).

13688416 is an abundant number, since it is smaller than the sum of its proper divisors (17718848).

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

13688416 is a wasteful number, since it uses less digits than its factorization.

13688416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1215 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 13688416 is about 3699.7859397538. The cubic root of 13688416 is about 239.2127911192.

It can be divided in two parts, 136884 and 16, that added together give a square (136900 = 370²).

The spelling of 13688416 in words is "thirteen million, six hundred eighty-eight thousand, four hundred sixteen".