13556800 has 84 divisors (see below), whose sum is σ = 34409380. Its totient is φ = 5253120.

The previous prime is 13556783. The next prime is 13556831. The reversal of 13556800 is 865531.

It can be written as a sum of positive squares in 6 ways, for example, as 1557504 + 11999296 = 1248^2 + 3464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59086 + ... + 59314.

Almost surely, 2^13556800 is an apocalyptic number.

13556800 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 13556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204690).

13556800 is an abundant number, since it is smaller than the sum of its proper divisors (20852580).

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

13556800 is a wasteful number, since it uses less digits than its factorization.

13556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 13556800 is about 3681.9560019099. The cubic root of 13556800 is about 238.4436326906.

The spelling of 13556800 in words is "thirteen million, five hundred fifty-six thousand, eight hundred".