947791872 has 72 divisors (see below), whose sum is σ = 2737450170. Its totient is φ = 315924480.

The previous prime is 947791847. The next prime is 947791903. The reversal of 947791872 is 278197749.

947791872 is a `hidden beast` number, since 9 + 477 + 91 + 87 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 769729536 + 178062336 = 27744^2 + 13344^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7279 + ... + 44142.

Almost surely, 2^947791872 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 947791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368725085).

947791872 is an abundant number, since it is smaller than the sum of its proper divisors (1789658298).

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

947791872 is a wasteful number, since it uses less digits than its factorization.

947791872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51449 (or 51426 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 947791872 is about 30786.2286095585. The cubic root of 947791872 is about 982.2853342951.

The spelling of 947791872 in words is "nine hundred forty-seven million, seven hundred ninety-one thousand, eight hundred seventy-two".