8834556960 has 144 divisors (see below), whose sum is σ = 30415281624. Its totient is φ = 2334990336.

The previous prime is 8834556943. The next prime is 8834556989. The reversal of 8834556960 is 696554388.

It is a happy number.

8834556960 is a `hidden beast` number, since 8 + 83 + 4 + 556 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7458740496 + 1375816464 = 86364^2 + 37092^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 8834556897 and 8834556906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135574 + ... + 189866.

Almost surely, 2^8834556960 is an apocalyptic number.

8834556960 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 8834556960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207640812).

8834556960 is an abundant number, since it is smaller than the sum of its proper divisors (21580724664).

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

8834556960 is a wasteful number, since it uses less digits than its factorization.

8834556960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54427 (or 54416 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 8834556960 is about 93992.3239419050. The cubic root of 8834556960 is about 2067.2591604486.

The spelling of 8834556960 in words is "eight billion, eight hundred thirty-four million, five hundred fifty-six thousand, nine hundred sixty".