13236960 has 192 divisors, whose sum is σ = 47900160. Its totient is φ = 3041280.

The previous prime is 13236953. The next prime is 13236961. The reversal of 13236960 is 6963231.

It is a happy number.

It is a super-2 number, since 2×13236960² = 350434220083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13236961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121386 + ... + 121494.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 2^13236960 is an apocalyptic number.

13236960 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 13236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

13236960 is an abundant number, since it is smaller than the sum of its proper divisors (34663200).

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

13236960 is a wasteful number, since it uses less digits than its factorization.

13236960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 13236960 is about 3638.2633219711. The cubic root of 13236960 is about 236.5535221475.

It can be divided in two parts, 13236 and 960, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 13236960 in words is "thirteen million, two hundred thirty-six thousand, nine hundred sixty".