960962688 has 192 divisors, whose sum is σ = 3179217600. Its totient is φ = 272922624.

The previous prime is 960962687. The next prime is 960962699. The reversal of 960962688 is 886269069.

960962688 is a `hidden beast` number, since 9 + 6 + 0 + 9 + 626 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (960962687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2168995 + ... + 2169437.

It is an arithmetic number, because the mean of its divisors is an integer number (16558425).

Almost surely, 2^960962688 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 960962688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589608800).

960962688 is an abundant number, since it is smaller than the sum of its proper divisors (2218254912).

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

960962688 is a wasteful number, since it uses less digits than its factorization.

960962688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 960962688 is about 30999.3981877068. The cubic root of 960962688 is about 986.8144685652.

The spelling of 960962688 in words is "nine hundred sixty million, nine hundred sixty-two thousand, six hundred eighty-eight".