1000768 has 28 divisors (see below), whose sum is σ = 2092960. Its totient is φ = 473472.

The previous prime is 1000763. The next prime is 1000777. The reversal of 1000768 is 8670001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 805 + ... + 1627.

2^1000768 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 1000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046480).

1000768 is an abundant number, since it is smaller than the sum of its proper divisors (1092192).

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

1000768 is an equidigital number, since it uses as much as digits as its factorization.

1000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1000768 is about 1000.3839263003. The cubic root of 1000768 is about 100.0255934492.

Adding to 1000768 its reverse (8670001), we get a palindrome (9670769).

The spelling of 1000768 in words is "one million, seven hundred sixty-eight", and thus it is an aban number.