961659168 has 48 divisors (see below), whose sum is σ = 2535533280. Its totient is φ = 319133696.

The previous prime is 961659161. The next prime is 961659197. The reversal of 961659168 is 861956169.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 961659168.

It is not an unprimeable number, because it can be changed into a prime (961659161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 273 + ... + 43856.

It is an arithmetic number, because the mean of its divisors is an integer number (52823610).

Almost surely, 2^961659168 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 961659168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267766640).

961659168 is an abundant number, since it is smaller than the sum of its proper divisors (1573874112).

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

961659168 is a wasteful number, since it uses less digits than its factorization.

961659168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44369 (or 44361 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 961659168 is about 31010.6299194325. The cubic root of 961659168 is about 987.0528165510.

The spelling of 961659168 in words is "nine hundred sixty-one million, six hundred fifty-nine thousand, one hundred sixty-eight".