13674128 has 40 divisors (see below), whose sum is σ = 28774200. Its totient is φ = 6294912.

The previous prime is 13674119. The next prime is 13674139. The reversal of 13674128 is 82147631.

It can be written as a sum of positive squares in 4 ways, for example, as 6012304 + 7661824 = 2452^2 + 2768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13674094 and 13674103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34958 + ... + 35346.

It is an arithmetic number, because the mean of its divisors is an integer number (719355).

Almost surely, 2^13674128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13674128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387100).

13674128 is an abundant number, since it is smaller than the sum of its proper divisors (15100072).

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

13674128 is an equidigital number, since it uses as much as digits as its factorization.

13674128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 404 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 13674128 is about 3697.8545130927. The cubic root of 13674128 is about 239.1295318572.

The spelling of 13674128 in words is "thirteen million, six hundred seventy-four thousand, one hundred twenty-eight".