13527696 has 160 divisors (see below), whose sum is σ = 45552640. Its totient is φ = 3359232.

The previous prime is 13527691. The next prime is 13527713. The reversal of 13527696 is 69672531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13527691) 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 31 ways as a sum of consecutive naturals, for example, 82911 + ... + 83073.

It is an arithmetic number, because the mean of its divisors is an integer number (284704).

Almost surely, 2^13527696 is an apocalyptic number.

13527696 is a gapful number since it is divisible by the number (16) 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 13527696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22776320).

13527696 is an abundant number, since it is smaller than the sum of its proper divisors (32024944).

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

13527696 is a wasteful number, since it uses less digits than its factorization.

13527696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 13527696 is about 3678.0016313210. The cubic root of 13527696 is about 238.2728786413.

The spelling of 13527696 in words is "thirteen million, five hundred twenty-seven thousand, six hundred ninety-six".