960201216 has 300 divisors, whose sum is σ = 3126015882. Its totient is φ = 293289984.

The previous prime is 960201197. The next prime is 960201227. The reversal of 960201216 is 612102069.

It can be written as a sum of positive squares in 3 ways, for example, as 524226816 + 435974400 = 22896^2 + 20880^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 960201216.

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 29 ways as a sum of consecutive naturals, for example, 7008700 + ... + 7008836.

Almost surely, 2^960201216 is an apocalyptic number.

960201216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563007941).

960201216 is an abundant number, since it is smaller than the sum of its proper divisors (2165814666).

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

960201216 is a wasteful number, since it uses less digits than its factorization.

960201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 960201216 is about 30987.1137087661. The cubic root of 960201216 is about 986.5537473241.

The spelling of 960201216 in words is "nine hundred sixty million, two hundred one thousand, two hundred sixteen".