13644000 has 144 divisors (see below), whose sum is σ = 48550320. Its totient is φ = 3628800.

The previous prime is 13643977. The next prime is 13644017. The reversal of 13644000 is 44631.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 35811 + ... + 36189.

It is an arithmetic number, because the mean of its divisors is an integer number (337155).

Almost surely, 2^13644000 is an apocalyptic number.

13644000 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 13644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24275160).

13644000 is an abundant number, since it is smaller than the sum of its proper divisors (34906320).

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

13644000 is a wasteful number, since it uses less digits than its factorization.

13644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13644000 is about 3693.7785531891. The cubic root of 13644000 is about 238.9537792191.

Adding to 13644000 its reverse (44631), we get a palindrome (13688631).

The spelling of 13644000 in words is "thirteen million, six hundred forty-four thousand".