13536068 has 48 divisors (see below), whose sum is σ = 29898624. Its totient is φ = 5218560.

The previous prime is 13536053. The next prime is 13536071. The reversal of 13536068 is 86063531.

13536068 = T₇₉₂ + T₇₉₃ + ... + T₈₃₂.

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 15 ways as a sum of consecutive naturals, for example, 14471 + ... + 15377.

It is an arithmetic number, because the mean of its divisors is an integer number (622888).

Almost surely, 2^13536068 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 13536068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14949312).

13536068 is an abundant number, since it is smaller than the sum of its proper divisors (16362556).

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

13536068 is a wasteful number, since it uses less digits than its factorization.

13536068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 13536068 is about 3679.1395733242. The cubic root of 13536068 is about 238.3220224907.

Adding to 13536068 its reverse (86063531), we get a palindrome (99599599).

The spelling of 13536068 in words is "thirteen million, five hundred thirty-six thousand, sixty-eight".