960800512 has 72 divisors (see below), whose sum is σ = 2307267200. Its totient is φ = 390085632.

The previous prime is 960800507. The next prime is 960800521. The reversal of 960800512 is 215008069.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19939 + ... + 48157.

Almost surely, 2^960800512 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 960800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153633600).

960800512 is an abundant number, since it is smaller than the sum of its proper divisors (1346466688).

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

960800512 is a wasteful number, since it uses less digits than its factorization.

960800512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28261 (or 28247 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 960800512 is about 30996.7822846179. The cubic root of 960800512 is about 986.7589524913.

The spelling of 960800512 in words is "nine hundred sixty million, eight hundred thousand, five hundred twelve".