47201168 has 80 divisors (see below), whose sum is σ = 112909440. Its totient is φ = 18662400.

The previous prime is 47201107. The next prime is 47201173. The reversal of 47201168 is 86110274.

It is a self number, because there is not a number n which added to its sum of digits gives 47201168.

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 15 ways as a sum of consecutive naturals, for example, 86978 + ... + 87518.

It is an arithmetic number, because the mean of its divisors is an integer number (1411368).

Almost surely, 2^47201168 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 47201168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56454720).

47201168 is an abundant number, since it is smaller than the sum of its proper divisors (65708272).

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

47201168 is a wasteful number, since it uses less digits than its factorization.

47201168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 47201168 is about 6870.3106188876. The cubic root of 47201168 is about 361.3967548278.

The spelling of 47201168 in words is "forty-seven million, two hundred one thousand, one hundred sixty-eight".