13368960 has 192 divisors, whose sum is σ = 50600160. Its totient is φ = 3225600.

The previous prime is 13368947. The next prime is 13368991. The reversal of 13368960 is 6986331.

13368960 = T₄₃₇ + T₄₃₈ + ... + T₅₄₆.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63255 + ... + 63465.

Almost surely, 2^13368960 is an apocalyptic number.

13368960 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 13368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25300080).

13368960 is an abundant number, since it is smaller than the sum of its proper divisors (37231200).

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

13368960 is a wasteful number, since it uses less digits than its factorization.

13368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13368960 is about 3656.3588445337. The cubic root of 13368960 is about 237.3372328891.

It can be divided in two parts, 1336 and 8960, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 13368960 in words is "thirteen million, three hundred sixty-eight thousand, nine hundred sixty".