1006866224 has 80 divisors (see below), whose sum is σ = 2434135872. Its totient is φ = 392822784.

The previous prime is 1006866187. The next prime is 1006866247. The reversal of 1006866224 is 4226686001.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101552 + ... + 111024.

Almost surely, 2^1006866224 is an apocalyptic number.

1006866224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006866224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217067936).

1006866224 is an abundant number, since it is smaller than the sum of its proper divisors (1427269648).

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

1006866224 is a wasteful number, since it uses less digits than its factorization.

1006866224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574 (or 9568 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 1006866224 is about 31731.1554154588. The cubic root of 1006866224 is about 1002.2835228874.

The spelling of 1006866224 in words is "one billion, six million, eight hundred sixty-six thousand, two hundred twenty-four".