947085984 has 144 divisors (see below), whose sum is σ = 2924105184. Its totient is φ = 289036800.

The previous prime is 947085983. The next prime is 947086009. The reversal of 947085984 is 489580749.

947085984 is a `hidden beast` number, since 9 + 47 + 0 + 8 + 598 + 4 = 666.

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

It is a super-2 number, since 2×947085984² = 1793943722178496512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 947085984.

It is not an unprimeable number, because it can be changed into a prime (947085983) 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 23 ways as a sum of consecutive naturals, for example, 489499 + ... + 491429.

It is an arithmetic number, because the mean of its divisors is an integer number (20306286).

Almost surely, 2^947085984 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 947085984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462052592).

947085984 is an abundant number, since it is smaller than the sum of its proper divisors (1977019200).

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

947085984 is a wasteful number, since it uses less digits than its factorization.

947085984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 947085984 is about 30774.7621274316. The cubic root of 947085984 is about 982.0414144855.

The spelling of 947085984 in words is "nine hundred forty-seven million, eighty-five thousand, nine hundred eighty-four".