9656106408 has 96 divisors (see below), whose sum is σ = 28264640040. Its totient is φ = 2960455680.

The previous prime is 9656106407. The next prime is 9656106469. The reversal of 9656106408 is 8046016569.

9656106408 is a `hidden beast` number, since 96 + 56 + 106 + 408 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8813829924 + 842276484 = 93882^2 + 29022^2 .

It is not an unprimeable number, because it can be changed into a prime (9656106407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244660 + ... + 281372.

Almost surely, 2^9656106408 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 9656106408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14132320020).

9656106408 is an abundant number, since it is smaller than the sum of its proper divisors (18608533632).

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

9656106408 is a wasteful number, since it uses less digits than its factorization.

9656106408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37019 (or 37012 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9656106408 is about 98265.4894049788. The cubic root of 9656106408 is about 2129.4495119104.

The spelling of 9656106408 in words is "nine billion, six hundred fifty-six million, one hundred six thousand, four hundred eight".