968301312 has 144 divisors (see below), whose sum is σ = 2858983680. Its totient is φ = 288460800.

The previous prime is 968301307. The next prime is 968301319. The reversal of 968301312 is 213103869.

It is a super-3 number, since 3×968301312³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (968301319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514389 + ... + 516267.

Almost surely, 2^968301312 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 968301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429491840).

968301312 is an abundant number, since it is smaller than the sum of its proper divisors (1890682368).

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

968301312 is a wasteful number, since it uses less digits than its factorization.

968301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 968301312 is about 31117.5402626879. The cubic root of 968301312 is about 989.3201168105.

The spelling of 968301312 in words is "nine hundred sixty-eight million, three hundred one thousand, three hundred twelve".