947673216 has 256 divisors, whose sum is σ = 3274444800. Its totient is φ = 264176640.

The previous prime is 947673187. The next prime is 947673217. The reversal of 947673216 is 612376749.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (947673217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039801 + ... + 1040711.

It is an arithmetic number, because the mean of its divisors is an integer number (12790800).

Almost surely, 2^947673216 is an apocalyptic number.

947673216 is a gapful number since it is divisible by the number (96) 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 947673216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637222400).

947673216 is an abundant number, since it is smaller than the sum of its proper divisors (2326771584).

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

947673216 is a wasteful number, since it uses less digits than its factorization.

947673216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 966 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 947673216 is about 30784.3014538255. The cubic root of 947673216 is about 982.2443411487.

The spelling of 947673216 in words is "nine hundred forty-seven million, six hundred seventy-three thousand, two hundred sixteen".