960775128 has 256 divisors, whose sum is σ = 3048192000. Its totient is φ = 278525952.

The previous prime is 960775103. The next prime is 960775163. The reversal of 960775128 is 821577069.

960775128 is a `hidden beast` number, since 9 + 60 + 77 + 512 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3278950 + ... + 3279242.

It is an arithmetic number, because the mean of its divisors is an integer number (11907000).

Almost surely, 2^960775128 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 960775128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096000).

960775128 is an abundant number, since it is smaller than the sum of its proper divisors (2087416872).

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

960775128 is a wasteful number, since it uses less digits than its factorization.

960775128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 960775128 is about 30996.3728200575. The cubic root of 960775128 is about 986.7502624772.

The spelling of 960775128 in words is "nine hundred sixty million, seven hundred seventy-five thousand, one hundred twenty-eight".