10256768 has 32 divisors (see below), whose sum is σ = 20581560. Its totient is φ = 5091328.

The previous prime is 10256767. The next prime is 10256773. The reversal of 10256768 is 86765201.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10256767) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 28880 + ... + 29232.

Almost surely, 2^10256768 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 10256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10290780).

10256768 is an abundant number, since it is smaller than the sum of its proper divisors (10324792).

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

10256768 is an equidigital number, since it uses as much as digits as its factorization.

10256768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 10256768 is about 3202.6189283148. The cubic root of 10256768 is about 217.2718742583.

The spelling of 10256768 in words is "ten million, two hundred fifty-six thousand, seven hundred sixty-eight".