906856928 has 48 divisors (see below), whose sum is σ = 1923102720. Its totient is φ = 419561856.

The previous prime is 906856913. The next prime is 906856931. The reversal of 906856928 is 829658609.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 906856928.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 8801 + ... + 43487.

It is an arithmetic number, because the mean of its divisors is an integer number (40064640).

Almost surely, 2^906856928 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 906856928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961551360).

906856928 is an abundant number, since it is smaller than the sum of its proper divisors (1016245792).

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

906856928 is a wasteful number, since it uses less digits than its factorization.

906856928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34759 (or 34751 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 53.

The square root of 906856928 is about 30114.0652851786. The cubic root of 906856928 is about 967.9351435271.

The spelling of 906856928 in words is "nine hundred six million, eight hundred fifty-six thousand, nine hundred twenty-eight".