960083200 has 108 divisors (see below), whose sum is σ = 2412901120. Its totient is φ = 378132480.

The previous prime is 960083197. The next prime is 960083207. The reversal of 960083200 is 2380069.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960083207) 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 11 ways as a sum of consecutive naturals, for example, 427681 + ... + 429919.

Almost surely, 2^960083200 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 960083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206450560).

960083200 is an abundant number, since it is smaller than the sum of its proper divisors (1452817920).

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

960083200 is a wasteful number, since it uses less digits than its factorization.

960083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2313 counting only the distinct ones).

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

The square root of 960083200 is about 30985.2093747969. The cubic root of 960083200 is about 986.5133273596.

The spelling of 960083200 in words is "nine hundred sixty million, eighty-three thousand, two hundred".