968248512 has 448 divisors, whose sum is σ = 3745382400. Its totient is φ = 237634560.

The previous prime is 968248507. The next prime is 968248543. The reversal of 968248512 is 215842869.

968248512 is a `hidden beast` number, since 96 + 8 + 2 + 48 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2527873 + ... + 2528255.

Almost surely, 2^968248512 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 968248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872691200).

968248512 is an abundant number, since it is smaller than the sum of its proper divisors (2777133888).

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

968248512 is a wasteful number, since it uses less digits than its factorization.

968248512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 968248512 is about 31116.6918550157. The cubic root of 968248512 is about 989.3021344425.

The spelling of 968248512 in words is "nine hundred sixty-eight million, two hundred forty-eight thousand, five hundred twelve".