9961056 has 168 divisors, whose sum is σ = 34154064. Its totient is φ = 2799360.

The previous prime is 9961051. The next prime is 9961057. The reversal of 9961056 is 6501699.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 9961056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9961051) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 163266 + ... + 163326.

It is an arithmetic number, because the mean of its divisors is an integer number (203298).

Almost surely, 2^9961056 is an apocalyptic number.

9961056 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 9961056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17077032).

9961056 is an abundant number, since it is smaller than the sum of its proper divisors (24193008).

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

9961056 is an equidigital number, since it uses as much as digits as its factorization.

9961056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9961056 is about 3156.1140663797. The cubic root of 9961056 is about 215.1634308125.

The spelling of 9961056 in words is "nine million, nine hundred sixty-one thousand, fifty-six".