8960809284 has 288 divisors, whose sum is σ = 27744417792. Its totient is φ = 2384640000.

The previous prime is 8960809237. The next prime is 8960809303. The reversal of 8960809284 is 4829080698.

8960809284 is a `hidden beast` number, since 8 + 9 + 608 + 0 + 9 + 28 + 4 = 666.

It is a super-2 number, since 2×8960809284² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8960809284.

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 95 ways as a sum of consecutive naturals, for example, 32349354 + ... + 32349630.

It is an arithmetic number, because the mean of its divisors is an integer number (96334784).

Almost surely, 2^8960809284 is an apocalyptic number.

8960809284 is a gapful number since it is divisible by the number (84) 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 8960809284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13872208896).

8960809284 is an abundant number, since it is smaller than the sum of its proper divisors (18783608508).

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

8960809284 is a wasteful number, since it uses less digits than its factorization.

8960809284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8960809284 is about 94661.5512444202. The cubic root of 8960809284 is about 2077.0601716316.

The spelling of 8960809284 in words is "eight billion, nine hundred sixty million, eight hundred nine thousand, two hundred eighty-four".