13581800 has 48 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 5336000.

The previous prime is 13581781. The next prime is 13581811. The reversal of 13581800 is 818531.

It is a self number, because there is not a number n which added to its sum of digits gives 13581800.

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, 11225 + ... + 12375.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 2^13581800 is an apocalyptic number.

13581800 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 13581800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

13581800 is an abundant number, since it is smaller than the sum of its proper divisors (18559000).

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

13581800 is a wasteful number, since it uses less digits than its factorization.

13581800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 13581800 is about 3685.3493728546. The cubic root of 13581800 is about 238.5901134308.

The spelling of 13581800 in words is "thirteen million, five hundred eighty-one thousand, eight hundred".