13527648 has 120 divisors (see below), whose sum is σ = 42261912. Its totient is φ = 4230144.

The previous prime is 13527643. The next prime is 13527649. The reversal of 13527648 is 84672531.

13527648 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 7 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13527641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43911 + ... + 44217.

Almost surely, 2^13527648 is an apocalyptic number.

13527648 is a gapful number since it is divisible by the number (18) 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 13527648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21130956).

13527648 is an abundant number, since it is smaller than the sum of its proper divisors (28734264).

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

13527648 is a wasteful number, since it uses less digits than its factorization.

13527648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13527648 is about 3677.9951060326. The cubic root of 13527648 is about 238.2725968217.

Adding to 13527648 its sum of digits (36), we get a square (13527684 = 3678²).

The spelling of 13527648 in words is "thirteen million, five hundred twenty-seven thousand, six hundred forty-eight".