906944 has 28 divisors (see below), whose sum is σ = 1853184. Its totient is φ = 440064.

The previous prime is 906943. The next prime is 906949. The reversal of 906944 is 449609.

It is a happy number.

906944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×906944³ = 2238013339502641152, which contains 333 as substring.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 906944.

It is not an unprimeable number, because it can be changed into a prime (906943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2177 + ... + 2559.

2⁹⁰⁶⁹⁴⁴ 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 906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926592).

906944 is an abundant number, since it is smaller than the sum of its proper divisors (946240).

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

906944 is a wasteful number, since it uses less digits than its factorization.

906944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 906944 is about 952.3360751331. The cubic root of 906944 is about 96.7966121347.

The spelling of 906944 in words is "nine hundred six thousand, nine hundred forty-four".