13800556 has 72 divisors (see below), whose sum is σ = 31658256. Its totient is φ = 5201280.

The previous prime is 13800551. The next prime is 13800557. The reversal of 13800556 is 65500831.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13800551) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 79686 + ... + 79858.

It is an arithmetic number, because the mean of its divisors is an integer number (439698).

Almost surely, 2^13800556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13800556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829128).

13800556 is an abundant number, since it is smaller than the sum of its proper divisors (17857700).

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

13800556 is a wasteful number, since it uses less digits than its factorization.

13800556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

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

The square root of 13800556 is about 3714.9099585320. The cubic root of 13800556 is about 239.8642519368.

The spelling of 13800556 in words is "thirteen million, eight hundred thousand, five hundred fifty-six".