13674144 has 96 divisors (see below), whose sum is σ = 40932864. Its totient is φ = 3956480.

The previous prime is 13674139. The next prime is 13674163. The reversal of 13674144 is 44147631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24007 + ... + 24569.

It is an arithmetic number, because the mean of its divisors is an integer number (426384).

Almost surely, 2^13674144 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 13674144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20466432).

13674144 is an abundant number, since it is smaller than the sum of its proper divisors (27258720).

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

13674144 is a wasteful number, since it uses less digits than its factorization.

13674144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 602 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 13674144 is about 3697.8566765087. The cubic root of 13674144 is about 239.1296251251.

The spelling of 13674144 in words is "thirteen million, six hundred seventy-four thousand, one hundred forty-four".