8965542960 has 360 divisors, whose sum is σ = 34901199216. Its totient is φ = 2045091840.

The previous prime is 8965542913. The next prime is 8965542973. The reversal of 8965542960 is 692455698.

It is a happy number.

8965542960 is a `hidden beast` number, since 8 + 9 + 6 + 5 + 542 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 8965542897 and 8965542906.

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 71 ways as a sum of consecutive naturals, for example, 2286922 + ... + 2290838.

Almost surely, 2^8965542960 is an apocalyptic number.

8965542960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8965542960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17450599608).

8965542960 is an abundant number, since it is smaller than the sum of its proper divisors (25935656256).

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

8965542960 is a wasteful number, since it uses less digits than its factorization.

8965542960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 8965542960 is about 94686.5511041563. The cubic root of 8965542960 is about 2077.4258528538.

The spelling of 8965542960 in words is "eight billion, nine hundred sixty-five million, five hundred forty-two thousand, nine hundred sixty".