906906 has 64 divisors (see below), whose sum is σ = 2451456. Its totient is φ = 216000.

The previous prime is 906901. The next prime is 906911. The reversal of 906906 is 609609.

It is an interprime number because it is at equal distance from previous prime (906901) and next prime (906911).

906906 is a strobogrammatic number because it is the same when read upside-down.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906901) by changing a digit.

906906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5931 + ... + 6081.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

2⁹⁰⁶⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225728).

906906 is an abundant number, since it is smaller than the sum of its proper divisors (1544550).

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

906906 is a wasteful number, since it uses less digits than its factorization.

906906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 906906 is about 952.3161239840. The cubic root of 906906 is about 96.7952602237.

It can be divided in two parts, 90 and 6906, that added together give a palindrome (6996).

The spelling of 906906 in words is "nine hundred six thousand, nine hundred six".