968076288 has 264 divisors, whose sum is σ = 3057923232. Its totient is φ = 293732352.

The previous prime is 968076269. The next prime is 968076293. The reversal of 968076288 is 882670869.

968076288 is a `hidden beast` number, since 9 + 6 + 8 + 0 + 7 + 628 + 8 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5796781 + ... + 5796947.

Almost surely, 2^968076288 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 968076288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528961616).

968076288 is an abundant number, since it is smaller than the sum of its proper divisors (2089846944).

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

968076288 is a wasteful number, since it uses less digits than its factorization.

968076288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 968076288 is about 31113.9243426476. The cubic root of 968076288 is about 989.2434746833.

The spelling of 968076288 in words is "nine hundred sixty-eight million, seventy-six thousand, two hundred eighty-eight".