13527668 has 48 divisors (see below), whose sum is σ = 29804544. Its totient is φ = 5219040.

The previous prime is 13527649. The next prime is 13527691. The reversal of 13527668 is 86672531.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51305 + ... + 51567.

It is an arithmetic number, because the mean of its divisors is an integer number (620928).

Almost surely, 2^13527668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13527668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272).

13527668 is an abundant number, since it is smaller than the sum of its proper divisors (16276876).

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

13527668 is a wasteful number, since it uses less digits than its factorization.

13527668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 450 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 13527668 is about 3677.9978249042. The cubic root of 13527668 is about 238.2727142466.

It can be divided in two parts, 13527 and 668, that multiplied together give a square (9036036 = 3006²).

The spelling of 13527668 in words is "thirteen million, five hundred twenty-seven thousand, six hundred sixty-eight".