10768338 has 72 divisors (see below), whose sum is σ = 28143180. Its totient is φ = 2963520.

The previous prime is 10768319. The next prime is 10768397. The reversal of 10768338 is 83386701.

10768338 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 can be written as a sum of positive squares in 2 ways, for example, as 9529569 + 1238769 = 3087^2 + 1113^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25368 + ... + 25788.

Almost surely, 2^10768338 is an apocalyptic number.

10768338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10768338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14071590).

10768338 is an abundant number, since it is smaller than the sum of its proper divisors (17374842).

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

10768338 is a wasteful number, since it uses less digits than its factorization.

10768338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 10768338 is about 3281.5145893322. The cubic root of 10768338 is about 220.8256714402.

The spelling of 10768338 in words is "ten million, seven hundred sixty-eight thousand, three hundred thirty-eight".