947042208 has 144 divisors (see below), whose sum is σ = 3141028800. Its totient is φ = 270555264.

The previous prime is 947042203. The next prime is 947042209. The reversal of 947042208 is 802240749.

947042208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (947042203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93991 + ... + 103577.

It is an arithmetic number, because the mean of its divisors is an integer number (21812700).

Almost surely, 2^947042208 is an apocalyptic number.

947042208 is a gapful number since it is divisible by the number (98) 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 947042208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570514400).

947042208 is an abundant number, since it is smaller than the sum of its proper divisors (2193986592).

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

947042208 is a wasteful number, since it uses less digits than its factorization.

947042208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9624 (or 9599 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 947042208 is about 30774.0508870704. The cubic root of 947042208 is about 982.0262836850.

The spelling of 947042208 in words is "nine hundred forty-seven million, forty-two thousand, two hundred eight".