968978472 has 128 divisors (see below), whose sum is σ = 3033676800. Its totient is φ = 250560000.

The previous prime is 968978467. The next prime is 968978531. The reversal of 968978472 is 274879869.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462804 + ... + 464892.

It is an arithmetic number, because the mean of its divisors is an integer number (23700600).

Almost surely, 2^968978472 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 968978472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516838400).

968978472 is an abundant number, since it is smaller than the sum of its proper divisors (2064698328).

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

968978472 is a wasteful number, since it uses less digits than its factorization.

968978472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2363 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 60.

The square root of 968978472 is about 31128.4190411270. The cubic root of 968978472 is about 989.5506827498.

The spelling of 968978472 in words is "nine hundred sixty-eight million, nine hundred seventy-eight thousand, four hundred seventy-two".