47820168 has 96 divisors (see below), whose sum is σ = 142740000. Its totient is φ = 14461920.

The previous prime is 47820163. The next prime is 47820181. The reversal of 47820168 is 86102874.

47820168 is a `hidden beast` number, since 478 + 20 + 168 = 666.

47820168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (47820163) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 95583 + ... + 96081.

It is an arithmetic number, because the mean of its divisors is an integer number (1486875).

Almost surely, 2^47820168 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 47820168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71370000).

47820168 is an abundant number, since it is smaller than the sum of its proper divisors (94919832).

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

47820168 is a wasteful number, since it uses less digits than its factorization.

47820168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 47820168 is about 6915.2127949905. The cubic root of 47820168 is about 362.9696944397.

The spelling of 47820168 in words is "forty-seven million, eight hundred twenty thousand, one hundred sixty-eight".