13561800 has 96 divisors (see below), whose sum is σ = 48062400. Its totient is φ = 3098880.

The previous prime is 13561783. The next prime is 13561829. The reversal of 13561800 is 816531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2586 + ... + 5814.

It is an arithmetic number, because the mean of its divisors is an integer number (500650).

Almost surely, 2^13561800 is an apocalyptic number.

13561800 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 13561800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24031200).

13561800 is an abundant number, since it is smaller than the sum of its proper divisors (34500600).

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

13561800 is a wasteful number, since it uses less digits than its factorization.

13561800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 13561800 is about 3682.6349262451. The cubic root of 13561800 is about 238.4729432364.

The spelling of 13561800 in words is "thirteen million, five hundred sixty-one thousand, eight hundred".