9601056 has 144 divisors (see below), whose sum is σ = 30250584. Its totient is φ = 2875392.

The previous prime is 9601027. The next prime is 9601057. The reversal of 9601056 is 6501069.

9601056 is a `hidden beast` number, since 9 + 601 + 0 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9511056 + 90000 = 3084^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (144).

9601056 is a modest number, since divided by 1056 gives 960 as remainder.

It is not an unprimeable number, because it can be changed into a prime (9601057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181126 + ... + 181178.

Almost surely, 2^9601056 is an apocalyptic number.

9601056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15125292).

9601056 is an abundant number, since it is smaller than the sum of its proper divisors (20649528).

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

9601056 is a wasteful number, since it uses less digits than its factorization.

9601056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9601056 is about 3098.5570835471. The cubic root of 9601056 is about 212.5395063803.

It can be divided in two parts, 960 and 1056, that added together give a triangular number (2016 = T₆₃).

The spelling of 9601056 in words is "nine million, six hundred one thousand, fifty-six".