13777368 has 64 divisors (see below), whose sum is σ = 39225600. Its totient is φ = 3991680.

The previous prime is 13777339. The next prime is 13777381. The reversal of 13777368 is 86377731.

13777368 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4938 + ... + 7206.

It is an arithmetic number, because the mean of its divisors is an integer number (612900).

Almost surely, 2^13777368 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 13777368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19612800).

13777368 is an abundant number, since it is smaller than the sum of its proper divisors (25448232).

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

13777368 is a wasteful number, since it uses less digits than its factorization.

13777368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2308 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 13777368 is about 3711.7877094468. The cubic root of 13777368 is about 239.7298348814.

The spelling of 13777368 in words is "thirteen million, seven hundred seventy-seven thousand, three hundred sixty-eight".