13644800 has 132 divisors (see below), whose sum is σ = 37312716. Its totient is φ = 4915200.

The previous prime is 13644781. The next prime is 13644809. The reversal of 13644800 is 844631.

It can be written as a sum of positive squares in 6 ways, for example, as 4596736 + 9048064 = 2144^2 + 3008^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13644800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13644809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332780 + ... + 332820.

Almost surely, 2^13644800 is an apocalyptic number.

13644800 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 13644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18656358).

13644800 is an abundant number, since it is smaller than the sum of its proper divisors (23667916).

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

13644800 is a wasteful number, since it uses less digits than its factorization.

13644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 13644800 is about 3693.8868417969. The cubic root of 13644800 is about 238.9584493864.

13644800 divided by its sum of digits (26) gives a triangular number (524800 = T₁₀₂₄).

The spelling of 13644800 in words is "thirteen million, six hundred forty-four thousand, eight hundred".