961116 has 48 divisors (see below), whose sum is σ = 2479008. Its totient is φ = 288000.

The previous prime is 961109. The next prime is 961117. The reversal of 961116 is 611169.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961117) by changing a digit.

961116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9466 + ... + 9566.

It is an arithmetic number, because the mean of its divisors is an integer number (51646).

2⁹⁶¹¹¹⁶ 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 961116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239504).

961116 is an abundant number, since it is smaller than the sum of its proper divisors (1517892).

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

961116 is a wasteful number, since it uses less digits than its factorization.

961116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

The square root of 961116 is about 980.3652380618. The cubic root of 961116 is about 98.6866944572.

The spelling of 961116 in words is "nine hundred sixty-one thousand, one hundred sixteen".