968816160 has 288 divisors, whose sum is σ = 3674522880. Its totient is φ = 238298112.

The previous prime is 968816153. The next prime is 968816161. The reversal of 968816160 is 61618869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (968816161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729417 + ... + 730743.

It is an arithmetic number, because the mean of its divisors is an integer number (12758760).

Almost surely, 2^968816160 is an apocalyptic number.

968816160 is a gapful number since it is divisible by the number (90) 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 968816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837261440).

968816160 is an abundant number, since it is smaller than the sum of its proper divisors (2705706720).

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

968816160 is a wasteful number, since it uses less digits than its factorization.

968816160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 968816160 is about 31125.8117966423. The cubic root of 968816160 is about 989.4954269920.

It can be divided in two parts, 96881 and 6160, that added together give a square (103041 = 321²).

The spelling of 968816160 in words is "nine hundred sixty-eight million, eight hundred sixteen thousand, one hundred sixty".