960816800 has 36 divisors (see below), whose sum is σ = 2345595966. Its totient is φ = 384326400.

The previous prime is 960816799. The next prime is 960816809. The reversal of 960816800 is 8618069.

It can be written as a sum of positive squares in 3 ways, for example, as 494083984 + 466732816 = 22228^2 + 21604^2 .

It is not an unprimeable number, because it can be changed into a prime (960816809) 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 5 ways as a sum of consecutive naturals, for example, 599711 + ... + 601310.

Almost surely, 2^960816800 is an apocalyptic number.

It is an amenable number.

960816800 is an abundant number, since it is smaller than the sum of its proper divisors (1384779166).

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

960816800 is a wasteful number, since it uses less digits than its factorization.

960816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201041 (or 1201028 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 960816800 is about 30997.0450204532. The cubic root of 960816800 is about 986.7645284802.

The spelling of 960816800 in words is "nine hundred sixty million, eight hundred sixteen thousand, eight hundred".