13971840 has 128 divisors (see below), whose sum is σ = 47001600. Its totient is φ = 3520512.

The previous prime is 13971817. The next prime is 13971851. The reversal of 13971840 is 4817931.

It is a tau number, because it is divible by the number of its divisors (128).

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, 36289 + ... + 36671.

It is an arithmetic number, because the mean of its divisors is an integer number (367200).

Almost surely, 2^13971840 is an apocalyptic number.

13971840 is a gapful number since it is divisible by the number (10) 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 13971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23500800).

13971840 is an abundant number, since it is smaller than the sum of its proper divisors (33029760).

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

13971840 is a wasteful number, since it uses less digits than its factorization.

13971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 13971840 is about 3737.8924543117. The cubic root of 13971840 is about 240.8525236508.

The spelling of 13971840 in words is "thirteen million, nine hundred seventy-one thousand, eight hundred forty".