7368768 has 84 divisors (see below), whose sum is σ = 23061168. Its totient is φ = 2231040.

The previous prime is 7368743. The next prime is 7368787. The reversal of 7368768 is 8678637.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5755 + ... + 6917.

Almost surely, 2^7368768 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 7368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530584).

7368768 is an abundant number, since it is smaller than the sum of its proper divisors (15692400).

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

7368768 is a wasteful number, since it uses less digits than its factorization.

7368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1179 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7368768 is about 2714.5474760998. The cubic root of 7368768 is about 194.5949778771.

The spelling of 7368768 in words is "seven million, three hundred sixty-eight thousand, seven hundred sixty-eight".