10338768 has 120 divisors (see below), whose sum is σ = 32381856. Its totient is φ = 3052800.

The previous prime is 10338749. The next prime is 10338773. The reversal of 10338768 is 86783301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 96571 + ... + 96677.

Almost surely, 2^10338768 is an apocalyptic number.

10338768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10338768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16190928).

10338768 is an abundant number, since it is smaller than the sum of its proper divisors (22043088).

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

10338768 is a wasteful number, since it uses less digits than its factorization.

10338768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

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

The square root of 10338768 is about 3215.3954655687. The cubic root of 10338768 is about 217.8493474182.

It can be divided in two parts, 1033 and 8768, that added together give a square (9801 = 99²).

The spelling of 10338768 in words is "ten million, three hundred thirty-eight thousand, seven hundred sixty-eight".