1006600 has 48 divisors (see below), whose sum is σ = 2678400. Its totient is φ = 344640.

The previous prime is 1006589. The next prime is 1006609. The reversal of 1006600 is 66001.

It is not an unprimeable number, because it can be changed into a prime (1006609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1041 + ... + 1759.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

2^1006600 is an apocalyptic number.

1006600 is a gapful number since it is divisible by the number (10) 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 1006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200).

1006600 is an abundant number, since it is smaller than the sum of its proper divisors (1671800).

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

1006600 is a wasteful number, since it uses less digits than its factorization.

1006600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1006600 is about 1003.2945728947. The cubic root of 1006600 is about 100.2195177669.

The spelling of 1006600 in words is "one million, six thousand, six hundred".