906656 has 24 divisors (see below), whose sum is σ = 1848420. Its totient is φ = 437248.

The previous prime is 906649. The next prime is 906673. The reversal of 906656 is 656609.

906656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 839056 + 67600 = 916^2 + 260^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

906656 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 3 ways as a sum of consecutive naturals, for example, 440 + ... + 1416.

2⁹⁰⁶⁶⁵⁶ 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 906656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924210).

906656 is an abundant number, since it is smaller than the sum of its proper divisors (941764).

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

906656 is a wasteful number, since it uses less digits than its factorization.

906656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 906656 is about 952.1848560022. The cubic root of 906656 is about 96.7863651310.

Subtracting from 906656 its reverse (656609), we obtain a cube (250047 = 63³).

The spelling of 906656 in words is "nine hundred six thousand, six hundred fifty-six".