947084320 has 192 divisors, whose sum is σ = 2850059520. Its totient is φ = 289271808.

The previous prime is 947084309. The next prime is 947084351. The reversal of 947084320 is 23480749.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 947084320.

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 31 ways as a sum of consecutive naturals, for example, 421119 + ... + 423361.

It is an arithmetic number, because the mean of its divisors is an integer number (14844060).

Almost surely, 2^947084320 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 947084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425029760).

947084320 is an abundant number, since it is smaller than the sum of its proper divisors (1902975200).

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

947084320 is a wasteful number, since it uses less digits than its factorization.

947084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 947084320 is about 30774.7350922798. The cubic root of 947084320 is about 982.0408393467.

The spelling of 947084320 in words is "nine hundred forty-seven million, eighty-four thousand, three hundred twenty".