8638368 has 24 divisors (see below), whose sum is σ = 22675968. Its totient is φ = 2879424.

The previous prime is 8638349. The next prime is 8638373.

8638368 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44896 + ... + 45087.

It is an arithmetic number, because the mean of its divisors is an integer number (944832).

Almost surely, 2^8638368 is an apocalyptic number.

It is an amenable number.

8638368 is an abundant number, since it is smaller than the sum of its proper divisors (14037600).

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

8638368 is a wasteful number, since it uses less digits than its factorization.

8638368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89996 (or 89988 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 8638368 is about 2939.1100693918. The cubic root of 8638368 is about 205.1841929694.

The spelling of 8638368 in words is "eight million, six hundred thirty-eight thousand, three hundred sixty-eight".