13816800 has 216 divisors, whose sum is σ = 51793560. Its totient is φ = 3456000.

The previous prime is 13816787. The next prime is 13816823. The reversal of 13816800 is 861831.

13816800 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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136750 + ... + 136850.

It is an arithmetic number, because the mean of its divisors is an integer number (239785).

Almost surely, 2^13816800 is an apocalyptic number.

13816800 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 13816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25896780).

13816800 is an abundant number, since it is smaller than the sum of its proper divisors (37976760).

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

13816800 is a wasteful number, since it uses less digits than its factorization.

13816800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 13816800 is about 3717.0956404160. The cubic root of 13816800 is about 239.9583260974.

The spelling of 13816800 in words is "thirteen million, eight hundred sixteen thousand, eight hundred".