13527684 has 27 divisors (see below), whose sum is σ = 34250853. Its totient is φ = 4501872.

The previous prime is 13527649. The next prime is 13527691. The reversal of 13527684 is 48672531.

The square root of 13527684 is 3678.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 13483584 = 210^2 + 3672^2 .

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

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 21762 + ... + 22374.

Almost surely, 2^13527684 is an apocalyptic number.

13527684 is the 3678-th square number.

It is an amenable number.

13527684 is an abundant number, since it is smaller than the sum of its proper divisors (20723169).

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

13527684 is an equidigital number, since it uses as much as digits as its factorization.

13527684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 618 counting only the distinct ones).

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

The cubic root of 13527684 is about 238.2728081865.

Multiplying 13527684 by its sum of digits (36), we get a square (486996624 = 22068²).

13527684 divided by its sum of digits (36) gives a square (375769 = 613²).

The spelling of 13527684 in words is "thirteen million, five hundred twenty-seven thousand, six hundred eighty-four".