9961016 has 48 divisors (see below), whose sum is σ = 21474600. Its totient is φ = 4294080.

The previous prime is 9961009. The next prime is 9961033. The reversal of 9961016 is 6101699.

9961016 = 339² + 340² + ... + 409².

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140261 + ... + 140331.

Almost surely, 2^9961016 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 9961016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10737300).

9961016 is an abundant number, since it is smaller than the sum of its proper divisors (11513584).

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

9961016 is a wasteful number, since it uses less digits than its factorization.

9961016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 9961016 is about 3156.1077294668. The cubic root of 9961016 is about 215.1631428059.

The spelling of 9961016 in words is "nine million, nine hundred sixty-one thousand, sixteen".