1006756 has 24 divisors (see below), whose sum is σ = 1903104. Its totient is φ = 464640.

The previous prime is 1006751. The next prime is 1006769. The reversal of 1006756 is 6576001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006756.

It is not an unprimeable number, because it can be changed into a prime (1006751) 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, 2676 + ... + 3028.

It is an arithmetic number, because the mean of its divisors is an integer number (79296).

2^1006756 is an apocalyptic number.

It is an amenable number.

1006756 is a deficient number, since it is larger than the sum of its proper divisors (896348).

1006756 is a wasteful number, since it uses less digits than its factorization.

1006756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 1006756 is about 1003.3723137500. The cubic root of 1006756 is about 100.2246947446.

Adding to 1006756 its product of nonzero digits (1260), we get a square (1008016 = 1004²).

The spelling of 1006756 in words is "one million, six thousand, seven hundred fifty-six".