13268120 has 32 divisors (see below), whose sum is σ = 30196800. Its totient is φ = 5246208.

The previous prime is 13268119. The next prime is 13268141. The reversal of 13268120 is 2186231.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1697 + ... + 5423.

It is an arithmetic number, because the mean of its divisors is an integer number (943650).

Almost surely, 2^13268120 is an apocalyptic number.

13268120 is a gapful number since it is divisible by the number (10) 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 13268120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15098400).

13268120 is an abundant number, since it is smaller than the sum of its proper divisors (16928680).

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

13268120 is a wasteful number, since it uses less digits than its factorization.

13268120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 13268120 is about 3642.5430676932. The cubic root of 13268120 is about 236.7389935216.

It can be divided in two parts, 1326 and 8120, that multiplied together give a triangular number (10767120 = T₄₆₄₀).

The spelling of 13268120 in words is "thirteen million, two hundred sixty-eight thousand, one hundred twenty".