9961128 has 24 divisors (see below), whose sum is σ = 26978250. Its totient is φ = 3320352.

The previous prime is 9961057. The next prime is 9961129. The reversal of 9961128 is 8211699.

It can be written as a sum of positive squares in only one way, i.e., 9622404 + 338724 = 3102^2 + 582^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9961092 and 9961101.

It is not an unprimeable number, because it can be changed into a prime (9961129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69103 + ... + 69246.

Almost surely, 2^9961128 is an apocalyptic number.

It is an amenable number.

9961128 is an abundant number, since it is smaller than the sum of its proper divisors (17017122).

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

9961128 is a wasteful number, since it uses less digits than its factorization.

9961128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138361 (or 138354 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 9961128 is about 3156.1254727910. The cubic root of 9961128 is about 215.1639492224.

The spelling of 9961128 in words is "nine million, nine hundred sixty-one thousand, one hundred twenty-eight".