1006506 has 48 divisors (see below), whose sum is σ = 2402400. Its totient is φ = 314928.

The previous prime is 1006493. The next prime is 1006507. The reversal of 1006506 is 6056001.

1006506 is a `hidden beast` number, since 10 + 0 + 650 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006507) 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, 9180 + ... + 9288.

It is an arithmetic number, because the mean of its divisors is an integer number (50050).

2^1006506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201200).

1006506 is an abundant number, since it is smaller than the sum of its proper divisors (1395894).

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

1006506 is a wasteful number, since it uses less digits than its factorization.

1006506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1006506 is about 1003.2477261375. The cubic root of 1006506 is about 100.2163980477.

The spelling of 1006506 in words is "one million, six thousand, five hundred six".