13536016 has 40 divisors (see below), whose sum is σ = 28748160. Its totient is φ = 6135936.

The previous prime is 13536007. The next prime is 13536031. The reversal of 13536016 is 61063531.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11721 + ... + 12823.

It is an arithmetic number, because the mean of its divisors is an integer number (718704).

Almost surely, 2^13536016 is an apocalyptic number.

13536016 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 13536016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374080).

13536016 is an abundant number, since it is smaller than the sum of its proper divisors (15212144).

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

13536016 is a wasteful number, since it uses less digits than its factorization.

13536016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 13536016 is about 3679.1325064477. The cubic root of 13536016 is about 238.3217173119.

Adding to 13536016 its reverse (61063531), we get a palindrome (74599547).

The spelling of 13536016 in words is "thirteen million, five hundred thirty-six thousand, sixteen".