13868600 has 48 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 5219840.

The previous prime is 13868587. The next prime is 13868611. The reversal of 13868600 is 686831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1361 + ... + 5439.

It is an arithmetic number, because the mean of its divisors is an integer number (711450).

Almost surely, 2^13868600 is an apocalyptic number.

13868600 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 13868600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).

13868600 is an abundant number, since it is smaller than the sum of its proper divisors (20281000).

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

13868600 is a wasteful number, since it uses less digits than its factorization.

13868600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 13868600 is about 3724.0569275993. The cubic root of 13868600 is about 240.2578247793.

The spelling of 13868600 in words is "thirteen million, eight hundred sixty-eight thousand, six hundred".