9661960 has 64 divisors (see below), whose sum is σ = 27112320. Its totient is φ = 3010560.

The previous prime is 9661957. The next prime is 9661969. The reversal of 9661960 is 691669.

It is not an unprimeable number, because it can be changed into a prime (9661969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1512 + ... + 4648.

It is an arithmetic number, because the mean of its divisors is an integer number (423630).

Almost surely, 2^9661960 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 9661960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13556160).

9661960 is an abundant number, since it is smaller than the sum of its proper divisors (17450360).

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

9661960 is a wasteful number, since it uses less digits than its factorization.

9661960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 9661960 is about 3108.3693474232. The cubic root of 9661960 is about 212.9879720188.

It can be divided in two parts, 966 and 1960, that added together give a triangular number (2926 = T₇₆).

The spelling of 9661960 in words is "nine million, six hundred sixty-one thousand, nine hundred sixty".