13761168 has 80 divisors (see below), whose sum is σ = 38092800. Its totient is φ = 4268160.

The previous prime is 13761131. The next prime is 13761169. The reversal of 13761168 is 86116731.

13761168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13761169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71953 + ... + 72143.

It is an arithmetic number, because the mean of its divisors is an integer number (476160).

Almost surely, 2^13761168 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 13761168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046400).

13761168 is an abundant number, since it is smaller than the sum of its proper divisors (24331632).

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

13761168 is a wasteful number, since it uses less digits than its factorization.

13761168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 13761168 is about 3709.6048307064. The cubic root of 13761168 is about 239.6358366060.

Adding to 13761168 its reverse (86116731), we get a palindrome (99877899).

The spelling of 13761168 in words is "thirteen million, seven hundred sixty-one thousand, one hundred sixty-eight".