13682200 has 96 divisors (see below), whose sum is σ = 37720800. Its totient is φ = 4515840.

The previous prime is 13682189. The next prime is 13682209. The reversal of 13682200 is 228631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13682209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40432 + ... + 40768.

It is an arithmetic number, because the mean of its divisors is an integer number (392925).

Almost surely, 2^13682200 is an apocalyptic number.

13682200 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 13682200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18860400).

13682200 is an abundant number, since it is smaller than the sum of its proper divisors (24038600).

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

13682200 is a wasteful number, since it uses less digits than its factorization.

13682200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 13682200 is about 3698.9457957640. The cubic root of 13682200 is about 239.1765762681.

The spelling of 13682200 in words is "thirteen million, six hundred eighty-two thousand, two hundred".