10768960 has 56 divisors (see below), whose sum is σ = 26051256. Its totient is φ = 4239360.

The previous prime is 10768951. The next prime is 10768981. The reversal of 10768960 is 6986701.

It can be written as a sum of positive squares in 4 ways, for example, as 732736 + 10036224 = 856^2 + 3168^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 23130 + ... + 23590.

It is an arithmetic number, because the mean of its divisors is an integer number (465201).

Almost surely, 2^10768960 is an apocalyptic number.

10768960 is a gapful number since it is divisible by the number (10) 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 10768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13025628).

10768960 is an abundant number, since it is smaller than the sum of its proper divisors (15282296).

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

10768960 is an equidigital number, since it uses as much as digits as its factorization.

10768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 10768960 is about 3281.6093612738. The cubic root of 10768960 is about 220.8299231308.

The spelling of 10768960 in words is "ten million, seven hundred sixty-eight thousand, nine hundred sixty".