906656688 has 120 divisors (see below), whose sum is σ = 3026020608. Its totient is φ = 247775616.

The previous prime is 906656627. The next prime is 906656713. The reversal of 906656688 is 886656609.

906656688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3631 + ... + 42737.

Almost surely, 2^906656688 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 906656688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513010304).

906656688 is an abundant number, since it is smaller than the sum of its proper divisors (2119363920).

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

906656688 is a wasteful number, since it uses less digits than its factorization.

906656688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39151 (or 39142 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 906656688 is about 30110.7404093622. The cubic root of 906656688 is about 967.8638961251.

The spelling of 906656688 in words is "nine hundred six million, six hundred fifty-six thousand, six hundred eighty-eight".