This 7-digit number is 8,920,000 when rounded to the nearest ten thousand. the digits to the tens and hundreds places are the least and same value. the value of the thousands digit is double that of the ten thousands digit. the sum of all its digits is 24.

The 7-digit number we are looking for is 8,92a,bcd

"The value of the thousands digit is double that of the ten thousands digit."

The value of the ten thousands digit is 2. Thus the value of the thousands digit is 4.

The 7-digit number we are looking for is 8,924,bcd

"The sum of all its digits is 24."

8+9+2+4+b+c+d = 23 + b+ c+ d

Thus b+c+d = 1

The digits to the tens and hundreds places are the least and same value.

These two digits (b and c) must be 0, because b+c+d = 1

That means that the digit "d" must be equal to 1.

The 7-digit number we are looking for is 8,924,001

This number is the only number that satisfies all the conditions stated in the question.