960504064 has 81 divisors (see below), whose sum is σ = 2090109063. Its totient is φ = 440334336.

The previous prime is 960504049. The next prime is 960504067. The reversal of 960504064 is 460405069.

The square root of 960504064 is 30992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 519840000 + 440664064 = 22800^2 + 20992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (960504067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6446262 + ... + 6446410.

Almost surely, 2^960504064 is an apocalyptic number.

960504064 is the 30992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960504064

960504064 is an abundant number, since it is smaller than the sum of its proper divisors (1129604999).

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

960504064 is an equidigital number, since it uses as much as digits as its factorization.

960504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The cubic root of 960504064 is about 986.6574562893.

The spelling of 960504064 in words is "nine hundred sixty million, five hundred four thousand, sixty-four".