906912 has 72 divisors (see below), whose sum is σ = 2673216. Its totient is φ = 291456.

The previous prime is 906911. The next prime is 906923. The reversal of 906912 is 219609.

It is a happy number.

906912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (906911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13503 + ... + 13569.

It is an arithmetic number, because the mean of its divisors is an integer number (37128).

2⁹⁰⁶⁹¹² 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 906912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336608).

906912 is an abundant number, since it is smaller than the sum of its proper divisors (1766304).

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

906912 is a wasteful number, since it uses less digits than its factorization.

906912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 906912 is about 952.3192741933. The cubic root of 906912 is about 96.7954736859.

The spelling of 906912 in words is "nine hundred six thousand, nine hundred twelve".