13823200 has 72 divisors (see below), whose sum is σ = 34732152. Its totient is φ = 5368320.

The previous prime is 13823197. The next prime is 13823209. The reversal of 13823200 is 232831.

It is a happy number.

13823200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13823209) 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, 29367 + ... + 29833.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 2^13823200 is an apocalyptic number.

13823200 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 13823200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366076).

13823200 is an abundant number, since it is smaller than the sum of its proper divisors (20908952).

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

13823200 is a wasteful number, since it uses less digits than its factorization.

13823200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 13823200 is about 3717.9564279319. The cubic root of 13823200 is about 239.9953702811.

The spelling of 13823200 in words is "thirteen million, eight hundred twenty-three thousand, two hundred".