8961688000 has 56 divisors (see below), whose sum is σ = 22193640144. Its totient is φ = 3584672000.

The previous prime is 8961687941. The next prime is 8961688013. The reversal of 8961688000 is 8861698.

It is a congruent number.

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, 552106 + ... + 568105.

Almost surely, 2^8961688000 is an apocalyptic number.

8961688000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8961688000 is an abundant number, since it is smaller than the sum of its proper divisors (13231952144).

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

8961688000 is a wasteful number, since it uses less digits than its factorization.

8961688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120238 (or 1120218 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 8961688000 is about 94666.1924870753. The cubic root of 8961688000 is about 2077.1280630572.

The spelling of 8961688000 in words is "eight billion, nine hundred sixty-one million, six hundred eighty-eight thousand".