10700768 has 48 divisors (see below), whose sum is σ = 23496480. Its totient is φ = 4763136.

The previous prime is 10700759. The next prime is 10700783. The reversal of 10700768 is 86700701.

It is a super-2 number, since 2×10700768² = 229012871579648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 10700768.

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 7 ways as a sum of consecutive naturals, for example, 11621 + ... + 12507.

It is an arithmetic number, because the mean of its divisors is an integer number (489510).

Almost surely, 2^10700768 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 10700768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11748240).

10700768 is an abundant number, since it is smaller than the sum of its proper divisors (12795712).

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

10700768 is a wasteful number, since it uses less digits than its factorization.

10700768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 10700768 is about 3271.2028368782. The cubic root of 10700768 is about 220.3628173018.

The spelling of 10700768 in words is "ten million, seven hundred thousand, seven hundred sixty-eight".