10368768 has 72 divisors (see below), whose sum is σ = 28844928. Its totient is φ = 3300352.

The previous prime is 10368763. The next prime is 10368773. The reversal of 10368768 is 86786301.

It is an interprime number because it is at equal distance from previous prime (10368763) and next prime (10368773).

It is a super-2 number, since 2×10368768² = 215022699675648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10368763) 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, 17371 + ... + 17957.

It is an arithmetic number, because the mean of its divisors is an integer number (400624).

Almost surely, 2^10368768 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 10368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422464).

10368768 is an abundant number, since it is smaller than the sum of its proper divisors (18476160).

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

10368768 is an equidigital number, since it uses as much as digits as its factorization.

10368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 10368768 is about 3220.0571423501. The cubic root of 10368768 is about 218.0598550679.

It can be divided in two parts, 10368 and 768, that multiplied together give a 5-th power (7962624 = 24⁵).

The spelling of 10368768 in words is "ten million, three hundred sixty-eight thousand, seven hundred sixty-eight".