968408641 has 8 divisors (see below), whose sum is σ = 975346560. Its totient is φ = 961495248.

The previous prime is 968408599. The next prime is 968408653. The reversal of 968408641 is 146804869.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 968408641 - 2¹⁵ = 968375873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 968408591 and 968408600.

It is not an unprimeable number, because it can be changed into a prime (968408671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77095 + ... + 88771.

It is an arithmetic number, because the mean of its divisors is an integer number (121918320).

Almost surely, 2^968408641 is an apocalyptic number.

It is an amenable number.

968408641 is a deficient number, since it is larger than the sum of its proper divisors (6937919).

968408641 is a wasteful number, since it uses less digits than its factorization.

968408641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12263.

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 968408641 is about 31119.2647888731. The cubic root of 968408641 is about 989.3566683862.

The spelling of 968408641 in words is "nine hundred sixty-eight million, four hundred eight thousand, six hundred forty-one".