13614944 has 72 divisors (see below), whose sum is σ = 32893560. Its totient is φ = 5515776.

The previous prime is 13614941. The next prime is 13614967. The reversal of 13614944 is 44941631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13614944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13614941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29564 + ... + 30020.

It is an arithmetic number, because the mean of its divisors is an integer number (456855).

Almost surely, 2^13614944 is an apocalyptic number.

13614944 is a gapful number since it is divisible by the number (14) 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 13614944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16446780).

13614944 is an abundant number, since it is smaller than the sum of its proper divisors (19278616).

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

13614944 is a wasteful number, since it uses less digits than its factorization.

13614944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 485 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 13614944 is about 3689.8433571088. The cubic root of 13614944 is about 238.7840348764.

The spelling of 13614944 in words is "thirteen million, six hundred fourteen thousand, nine hundred forty-four".