10758768 has 80 divisors (see below), whose sum is σ = 29462400. Its totient is φ = 3377920.

The previous prime is 10758757. The next prime is 10758809. The reversal of 10758768 is 86785701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82063 + ... + 82193.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 2^10758768 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 10758768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731200).

10758768 is an abundant number, since it is smaller than the sum of its proper divisors (18703632).

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

10758768 is a wasteful number, since it uses less digits than its factorization.

10758768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 10758768 is about 3280.0560970813. The cubic root of 10758768 is about 220.7602349099.

The spelling of 10758768 in words is "ten million, seven hundred fifty-eight thousand, seven hundred sixty-eight".