13814672 has 40 divisors (see below), whose sum is σ = 29164800. Its totient is φ = 6314112.

The previous prime is 13814639. The next prime is 13814677. The reversal of 13814672 is 27641831.

It is not an unprimeable number, because it can be changed into a prime (13814677) 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, 8033 + ... + 9599.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^13814672 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 13814672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582400).

13814672 is an abundant number, since it is smaller than the sum of its proper divisors (15350128).

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

13814672 is a wasteful number, since it uses less digits than its factorization.

13814672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1617 counting only the distinct ones).

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

The square root of 13814672 is about 3716.8093844049. The cubic root of 13814672 is about 239.9460063723.

The spelling of 13814672 in words is "thirteen million, eight hundred fourteen thousand, six hundred seventy-two".