13967744 has 96 divisors (see below), whose sum is σ = 34535160. Its totient is φ = 5591040.

The previous prime is 13967743. The next prime is 13967773. The reversal of 13967744 is 44776931.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13967741) 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, 106559 + ... + 106689.

Almost surely, 2^13967744 is an apocalyptic number.

13967744 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 13967744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267580).

13967744 is an abundant number, since it is smaller than the sum of its proper divisors (20567416).

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

13967744 is a wasteful number, since it uses less digits than its factorization.

13967744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its digits is 127008, while the sum is 41.

The square root of 13967744 is about 3737.3445118158. The cubic root of 13967744 is about 240.8289851534.

The spelling of 13967744 in words is "thirteen million, nine hundred sixty-seven thousand, seven hundred forty-four".