13368768 has 140 divisors (see below), whose sum is σ = 42687240. Its totient is φ = 3687936.

The previous prime is 13368767. The next prime is 13368793. The reversal of 13368768 is 86786331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (145152) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13368767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 460978 + ... + 461006.

Almost surely, 2^13368768 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 13368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21343620).

13368768 is an abundant number, since it is smaller than the sum of its proper divisors (29318472).

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

13368768 is an frugal number, since it uses more digits than its factorization.

13368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 13368768 is about 3656.3325888108. The cubic root of 13368768 is about 237.3360967008.

The spelling of 13368768 in words is "thirteen million, three hundred sixty-eight thousand, seven hundred sixty-eight".