13035168 has 120 divisors (see below), whose sum is σ = 39517632. Its totient is φ = 4212864.

The previous prime is 13035167. The next prime is 13035173. The reversal of 13035168 is 86153031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13035163) 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 19 ways as a sum of consecutive naturals, for example, 121771 + ... + 121877.

Almost surely, 2^13035168 is an apocalyptic number.

13035168 is a gapful number since it is divisible by the number (18) 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 13035168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758816).

13035168 is an abundant number, since it is smaller than the sum of its proper divisors (26482464).

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

13035168 is a wasteful number, since it uses less digits than its factorization.

13035168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13035168 is about 3610.4249057417. The cubic root of 13035168 is about 235.3453079603.

Adding to 13035168 its reverse (86153031), we get a palindrome (99188199).

It can be divided in two parts, 13035 and 168, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 13035168 in words is "thirteen million, thirty-five thousand, one hundred sixty-eight".