847876968 has 144 divisors (see below), whose sum is σ = 2434051620. Its totient is φ = 266585088.

The previous prime is 847876961. The next prime is 847876993. The reversal of 847876968 is 869678748.

847876968 is a `hidden beast` number, since 8 + 478 + 76 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 847857924 + 19044 = 29118^2 + 138^2 .

It is a super-3 number, since 3×847876968³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (847876961) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4303846 + ... + 4304042.

Almost surely, 2^847876968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 847876968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217025810).

847876968 is an abundant number, since it is smaller than the sum of its proper divisors (1586174652).

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

847876968 is a wasteful number, since it uses less digits than its factorization.

847876968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 338 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The square root of 847876968 is about 29118.3270123817. The cubic root of 847876968 is about 946.4789205365.

The spelling of 847876968 in words is "eight hundred forty-seven million, eight hundred seventy-six thousand, nine hundred sixty-eight".