13644648 has 24 divisors (see below), whose sum is σ = 36954450. Its totient is φ = 4548192.

The previous prime is 13644647. The next prime is 13644667. The reversal of 13644648 is 84644631.

13644648 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 4 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13527684 + 116964 = 3678^2 + 342^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13644647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94683 + ... + 94826.

Almost surely, 2^13644648 is an apocalyptic number.

13644648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13644648 is an abundant number, since it is smaller than the sum of its proper divisors (23309802).

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

13644648 is a wasteful number, since it uses less digits than its factorization.

13644648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189521 (or 189514 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 13644648 is about 3693.8662672057. The cubic root of 13644648 is about 238.9575620687.

The spelling of 13644648 in words is "thirteen million, six hundred forty-four thousand, six hundred forty-eight".