13644064 has 48 divisors (see below), whose sum is σ = 32514048. Its totient is φ = 5501952.

The previous prime is 13644041. The next prime is 13644073. The reversal of 13644064 is 46044631.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2017 + ... + 5599.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 2^13644064 is an apocalyptic number.

13644064 is a gapful number since it is divisible by the number (14) 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 13644064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257024).

13644064 is an abundant number, since it is smaller than the sum of its proper divisors (18869984).

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

13644064 is a wasteful number, since it uses less digits than its factorization.

13644064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 13644064 is about 3693.7872163946. The cubic root of 13644064 is about 238.9541528392.

Adding to 13644064 its reverse (46044631), we get a palindrome (59688695).

It can be divided in two parts, 136 and 44064, that multiplied together give a square (5992704 = 2448²).

The spelling of 13644064 in words is "thirteen million, six hundred forty-four thousand, sixty-four".