960661728 has 288 divisors, whose sum is σ = 3152973600. Its totient is φ = 282839040.

The previous prime is 960661727. The next prime is 960661783. The reversal of 960661728 is 827166069.

960661728 is a `hidden beast` number, since 9 + 6 + 0 + 6 + 617 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960661727) 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 47 ways as a sum of consecutive naturals, for example, 10793908 + ... + 10793996.

It is an arithmetic number, because the mean of its divisors is an integer number (10947825).

Almost surely, 2^960661728 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 960661728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576486800).

960661728 is an abundant number, since it is smaller than the sum of its proper divisors (2192311872).

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

960661728 is a wasteful number, since it uses less digits than its factorization.

960661728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 960661728 is about 30994.5435197875. The cubic root of 960661728 is about 986.7114390039.

The spelling of 960661728 in words is "nine hundred sixty million, six hundred sixty-one thousand, seven hundred twenty-eight".