47581168 has 40 divisors (see below), whose sum is σ = 97560720. Its totient is φ = 22417920.

The previous prime is 47581129. The next prime is 47581207. The reversal of 47581168 is 86118574.

47581168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47581129) and next prime (47581207).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47581168.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 85146 + ... + 85702.

It is an arithmetic number, because the mean of its divisors is an integer number (2439018).

Almost surely, 2^47581168 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 47581168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48780360).

47581168 is an abundant number, since it is smaller than the sum of its proper divisors (49979552).

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

47581168 is a wasteful number, since it uses less digits than its factorization.

47581168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 859 counting only the distinct ones).

The product of its digits is 53760, while the sum is 40.

The square root of 47581168 is about 6897.9104082323. The cubic root of 47581168 is about 362.3639898790.

The spelling of 47581168 in words is "forty-seven million, five hundred eighty-one thousand, one hundred sixty-eight".