1006668 has 60 divisors (see below), whose sum is σ = 2845920. Its totient is φ = 308448.

The previous prime is 1006651. The next prime is 1006711. The reversal of 1006668 is 8666001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 4093 + ... + 4331.

It is an arithmetic number, because the mean of its divisors is an integer number (47432).

2^1006668 is an apocalyptic number.

1006668 is a gapful number since it is divisible by the number (18) 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 1006668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422960).

1006668 is an abundant number, since it is smaller than the sum of its proper divisors (1839252).

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

1006668 is a wasteful number, since it uses less digits than its factorization.

1006668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1006668 is about 1003.3284606748. The cubic root of 1006668 is about 100.2217744639.

The spelling of 1006668 in words is "one million, six thousand, six hundred sixty-eight".