13947200 has 84 divisors (see below), whose sum is σ = 35905440. Its totient is φ = 5322240.

The previous prime is 13947163. The next prime is 13947209. The reversal of 13947200 is 274931.

It is a self number, because there is not a number n which added to its sum of digits gives 13947200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13947209) 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, 36611 + ... + 36989.

Almost surely, 2^13947200 is an apocalyptic number.

13947200 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 13947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17952720).

13947200 is an abundant number, since it is smaller than the sum of its proper divisors (21958240).

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

13947200 is a wasteful number, since it uses less digits than its factorization.

13947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 13947200 is about 3734.5950248990. The cubic root of 13947200 is about 240.7108554034.

The spelling of 13947200 in words is "thirteen million, nine hundred forty-seven thousand, two hundred".