1006068 has 72 divisors (see below), whose sum is σ = 2872800. Its totient is φ = 272832.

The previous prime is 1006063. The next prime is 1006087. The reversal of 1006068 is 8606001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006063) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17023 + ... + 17081.

It is an arithmetic number, because the mean of its divisors is an integer number (39900).

2^1006068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436400).

1006068 is an abundant number, since it is smaller than the sum of its proper divisors (1866732).

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

1006068 is a wasteful number, since it uses less digits than its factorization.

1006068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1006068 is about 1003.0294113335. The cubic root of 1006068 is about 100.2018589223.

The spelling of 1006068 in words is "one million, six thousand, sixty-eight".