13656800 has 72 divisors (see below), whose sum is σ = 34200936. Its totient is φ = 5322240.

The previous prime is 13656791. The next prime is 13656821. The reversal of 13656800 is 865631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34202 + ... + 34598.

It is an arithmetic number, because the mean of its divisors is an integer number (475013).

Almost surely, 2^13656800 is an apocalyptic number.

13656800 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 13656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100468).

13656800 is an abundant number, since it is smaller than the sum of its proper divisors (20544136).

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

13656800 is a wasteful number, since it uses less digits than its factorization.

13656800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 13656800 is about 3695.5107901344. The cubic root of 13656800 is about 239.0284800010.

The spelling of 13656800 in words is "thirteen million, six hundred fifty-six thousand, eight hundred".