8961601760 has 24 divisors (see below), whose sum is σ = 21171784536. Its totient is φ = 3584640640.

The previous prime is 8961601741. The next prime is 8961601777. The reversal of 8961601760 is 671061698.

It is a super-2 number, since 2×8961601760² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28004846 + ... + 28005165.

It is an arithmetic number, because the mean of its divisors is an integer number (882157689).

Almost surely, 2^8961601760 is an apocalyptic number.

8961601760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8961601760 is an abundant number, since it is smaller than the sum of its proper divisors (12210182776).

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

8961601760 is a wasteful number, since it uses less digits than its factorization.

8961601760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56010026 (or 56010018 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 8961601760 is about 94665.7369907402. The cubic root of 8961601760 is about 2077.1214001718.

The spelling of 8961601760 in words is "eight billion, nine hundred sixty-one million, six hundred one thousand, seven hundred sixty".