1006768 has 40 divisors (see below), whose sum is σ = 2276640. Its totient is φ = 422400.

The previous prime is 1006751. The next prime is 1006769. The reversal of 1006768 is 8676001.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1006769) by changing a digit.

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, 9918 + ... + 10018.

It is an arithmetic number, because the mean of its divisors is an integer number (56916).

2^1006768 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 1006768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138320).

1006768 is an abundant number, since it is smaller than the sum of its proper divisors (1269872).

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

1006768 is a wasteful number, since it uses less digits than its factorization.

1006768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1006768 is about 1003.3782935663. The cubic root of 1006768 is about 100.2250929515.

The spelling of 1006768 in words is "one million, six thousand, seven hundred sixty-eight".