13947840 has 168 divisors, whose sum is σ = 49926240. Its totient is φ = 3569664.

The previous prime is 13947839. The next prime is 13947847. The reversal of 13947840 is 4874931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13947795 and 13947804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13947847) 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 23 ways as a sum of consecutive naturals, for example, 83437 + ... + 83603.

It is an arithmetic number, because the mean of its divisors is an integer number (297180).

Almost surely, 2^13947840 is an apocalyptic number.

13947840 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 13947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24963120).

13947840 is an abundant number, since it is smaller than the sum of its proper divisors (35978400).

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

13947840 is a wasteful number, since it uses less digits than its factorization.

13947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13947840 is about 3734.6807092441. The cubic root of 13947840 is about 240.7145372079.

The spelling of 13947840 in words is "thirteen million, nine hundred forty-seven thousand, eight hundred forty".