8138368 has 64 divisors (see below), whose sum is σ = 19192320. Its totient is φ = 3363840.

The previous prime is 8138363. The next prime is 8138371. The reversal of 8138368 is 8638318.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (8138363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27630 + ... + 27922.

It is an arithmetic number, because the mean of its divisors is an integer number (299880).

Almost surely, 2^8138368 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 8138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9596160).

8138368 is an abundant number, since it is smaller than the sum of its proper divisors (11053952).

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

8138368 is a wasteful number, since it uses less digits than its factorization.

8138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 8138368 is about 2852.7825013485. The cubic root of 8138368 is about 201.1464820037.

The spelling of 8138368 in words is "eight million, one hundred thirty-eight thousand, three hundred sixty-eight".