13648040 has 64 divisors (see below), whose sum is σ = 35596800. Its totient is φ = 4612608.

The previous prime is 13648031. The next prime is 13648043. The reversal of 13648040 is 4084631.

It is not an unprimeable number, because it can be changed into a prime (13648043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21812 + ... + 22428.

It is an arithmetic number, because the mean of its divisors is an integer number (556200).

Almost surely, 2^13648040 is an apocalyptic number.

13648040 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 13648040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17798400).

13648040 is an abundant number, since it is smaller than the sum of its proper divisors (21948760).

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

13648040 is a wasteful number, since it uses less digits than its factorization.

13648040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 710 counting only the distinct ones).

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

The square root of 13648040 is about 3694.3253781983. The cubic root of 13648040 is about 238.9773616974.

The spelling of 13648040 in words is "thirteen million, six hundred forty-eight thousand, forty".