13678336 has 72 divisors (see below), whose sum is σ = 33112800. Its totient is φ = 5505024.

The previous prime is 13678333. The next prime is 13678361. The reversal of 13678336 is 63387631.

13678336 = T₂₁₃ + T₂₁₄ + ... + T₄₅₀.

It is a junction number, because it is equal to n+sod(n) for n = 13678295 and 13678304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13678333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30240 + ... + 30688.

It is an arithmetic number, because the mean of its divisors is an integer number (459900).

Almost surely, 2^13678336 is an apocalyptic number.

13678336 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 13678336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556400).

13678336 is an abundant number, since it is smaller than the sum of its proper divisors (19434464).

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

13678336 is an equidigital number, since it uses as much as digits as its factorization.

13678336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 475 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

The square root of 13678336 is about 3698.4234479032. The cubic root of 13678336 is about 239.1540588049.

It can be divided in two parts, 136 and 78336, that multiplied together give a square (10653696 = 3264²).

The spelling of 13678336 in words is "thirteen million, six hundred seventy-eight thousand, three hundred thirty-six".