968088961600 has 42 divisors (see below), whose sum is σ = 2382103905074. Its totient is φ = 387235584000.

The previous prime is 968088961579. The next prime is 968088961601. The reversal of 968088961600 is 6169880869.

It can be written as a sum of positive squares in 3 ways, for example, as 278378643456 + 689710318144 = 527616^2 + 830488^2 .

It is not an unprimeable number, because it can be changed into a prime (968088961601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 302526201 + ... + 302529400.

Almost surely, 2^968088961600 is an apocalyptic number.

It is an amenable number.

968088961600 is an abundant number, since it is smaller than the sum of its proper divisors (1414014943474).

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

968088961600 is a wasteful number, since it uses less digits than its factorization.

968088961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605055623 (or 605055608 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 61.

The spelling of 968088961600 in words is "nine hundred sixty-eight billion, eighty-eight million, nine hundred sixty-one thousand, six hundred".