47868120 has 48 divisors (see below), whose sum is σ = 155572560. Its totient is φ = 12764736.

The previous prime is 47868097. The next prime is 47868131. The reversal of 47868120 is 2186874.

47868120 is a `hidden beast` number, since 478 + 68 + 120 = 666.

47868120 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 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 11 ways as a sum of consecutive naturals, for example, 66124 + ... + 66843.

It is an arithmetic number, because the mean of its divisors is an integer number (3241095).

Almost surely, 2^47868120 is an apocalyptic number.

47868120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47868120 is an abundant number, since it is smaller than the sum of its proper divisors (107704440).

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

47868120 is a wasteful number, since it uses less digits than its factorization.

47868120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132984 (or 132977 counting only the distinct ones).

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

The square root of 47868120 is about 6918.6790646770. The cubic root of 47868120 is about 363.0909773561.

The spelling of 47868120 in words is "forty-seven million, eight hundred sixty-eight thousand, one hundred twenty".