13678938 has 72 divisors (see below), whose sum is σ = 37159668. Its totient is φ = 3604608.

The previous prime is 13678933. The next prime is 13678949. The reversal of 13678938 is 83987631.

It is a happy number.

13678938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13198689 + 480249 = 3633^2 + 693^2 .

It is a super-2 number, since 2×13678938² = 374226689615688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13678893 and 13678902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13678933) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10870 + ... + 12062.

Almost surely, 2^13678938 is an apocalyptic number.

13678938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13678938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579834).

13678938 is an abundant number, since it is smaller than the sum of its proper divisors (23480730).

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

13678938 is a wasteful number, since it uses less digits than its factorization.

13678938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1218 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 13678938 is about 3698.5048330373. The cubic root of 13678938 is about 239.1575672392.

The spelling of 13678938 in words is "thirteen million, six hundred seventy-eight thousand, nine hundred thirty-eight".