968561664 has 176 divisors, whose sum is σ = 2995628928. Its totient is φ = 272498688.

The previous prime is 968561647. The next prime is 968561701. The reversal of 968561664 is 466165869.

It is a happy number.

It is a super-2 number, since 2×968561664² = 1876223393940897792, which contains 22 as substring.

Its product of digits (1866240) is a multiple of the sum of its prime factors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1569484 + ... + 1570100.

Almost surely, 2^968561664 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 968561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497814464).

968561664 is an abundant number, since it is smaller than the sum of its proper divisors (2027067264).

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

968561664 is a wasteful number, since it uses less digits than its factorization.

968561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 702 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 968561664 is about 31121.7233455990. The cubic root of 968561664 is about 989.4087766752.

The spelling of 968561664 in words is "nine hundred sixty-eight million, five hundred sixty-one thousand, six hundred sixty-four".