906606 has 32 divisors (see below), whose sum is σ = 2046720. Its totient is φ = 297432.

The previous prime is 906601. The next prime is 906613. The reversal of 906606 is 606609.

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

It is a self number, because there is not a number n which added to its sum of digits gives 906606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906601) by changing a digit.

906606 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 5481 + ... + 5643.

It is an arithmetic number, because the mean of its divisors is an integer number (63960).

2⁹⁰⁶⁶⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023360).

906606 is an abundant number, since it is smaller than the sum of its proper divisors (1140114).

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

906606 is a wasteful number, since it uses less digits than its factorization.

906606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 906606 is about 952.1586002342. The cubic root of 906606 is about 96.7845859162.

The spelling of 906606 in words is "nine hundred six thousand, six hundred six".