13978944 has 84 divisors (see below), whose sum is σ = 45805344. Its totient is φ = 3992832.

The previous prime is 13978931. The next prime is 13978949. The reversal of 13978944 is 44987931.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13978944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13978949) 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, 2299 + ... + 5765.

Almost surely, 2^13978944 is an apocalyptic number.

13978944 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 13978944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22902672).

13978944 is an abundant number, since it is smaller than the sum of its proper divisors (31826400).

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

13978944 is a wasteful number, since it uses less digits than its factorization.

13978944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3479 counting only the distinct ones).

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

The square root of 13978944 is about 3738.8426016616. The cubic root of 13978944 is about 240.8933373260.

The spelling of 13978944 in words is "thirteen million, nine hundred seventy-eight thousand, nine hundred forty-four".