960114304 has 32 divisors (see below), whose sum is σ = 2025245700. Its totient is φ = 451817472.

The previous prime is 960114301. The next prime is 960114307. The reversal of 960114304 is 403411069.

It is an interprime number because it is at equal distance from previous prime (960114301) and next prime (960114307).

It can be written as a sum of positive squares in 2 ways, for example, as 931470400 + 28643904 = 30520^2 + 5352^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (960114301) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 218439 + ... + 222790.

Almost surely, 2^960114304 is an apocalyptic number.

It is an amenable number.

960114304 is an abundant number, since it is smaller than the sum of its proper divisors (1065131396).

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

960114304 is a wasteful number, since it uses less digits than its factorization.

960114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441260 (or 441248 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 960114304 is about 30985.7112876242. The cubic root of 960114304 is about 986.5239806652.

The spelling of 960114304 in words is "nine hundred sixty million, one hundred fourteen thousand, three hundred four".