13648000 has 64 divisors (see below), whose sum is σ = 33972120. Its totient is φ = 5452800.

The previous prime is 13647929. The next prime is 13648003. The reversal of 13648000 is 84631.

It can be written as a sum of positive squares in 4 ways, for example, as 1201216 + 12446784 = 1096^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13648003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15574 + ... + 16426.

Almost surely, 2^13648000 is an apocalyptic number.

13648000 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 13648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16986060).

13648000 is an abundant number, since it is smaller than the sum of its proper divisors (20324120).

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

13648000 is an frugal number, since it uses more digits than its factorization.

13648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 13648000 is about 3694.3199644860. The cubic root of 13648000 is about 238.9771282303.

The spelling of 13648000 in words is "thirteen million, six hundred forty-eight thousand".