13947360 has 144 divisors (see below), whose sum is σ = 51193296. Its totient is φ = 3182592.

The previous prime is 13947359. The next prime is 13947397. The reversal of 13947360 is 6374931.

It is a congruent number.

It is an unprimeable number.

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, 23224 + ... + 23816.

It is an arithmetic number, because the mean of its divisors is an integer number (355509).

Almost surely, 2^13947360 is an apocalyptic number.

13947360 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 13947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25596648).

13947360 is an abundant number, since it is smaller than the sum of its proper divisors (37245936).

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

13947360 is a wasteful number, since it uses less digits than its factorization.

13947360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 13947360 is about 3734.6164461695. The cubic root of 13947360 is about 240.7117758651.

The spelling of 13947360 in words is "thirteen million, nine hundred forty-seven thousand, three hundred sixty".