968647456 has 48 divisors (see below), whose sum is σ = 2184537600. Its totient is φ = 414167040.

The previous prime is 968647441. The next prime is 968647481. The reversal of 968647456 is 654746869.

It is a junction number, because it is equal to n+sod(n) for n = 968647397 and 968647406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95761 + ... + 105391.

It is an arithmetic number, because the mean of its divisors is an integer number (45511200).

Almost surely, 2^968647456 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 968647456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092268800).

968647456 is an abundant number, since it is smaller than the sum of its proper divisors (1215890144).

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

968647456 is a wasteful number, since it uses less digits than its factorization.

968647456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10097 (or 10089 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 55.

The square root of 968647456 is about 31123.1016449196. The cubic root of 968647456 is about 989.4379886688.

The spelling of 968647456 in words is "nine hundred sixty-eight million, six hundred forty-seven thousand, four hundred fifty-six".