47904168 has 64 divisors (see below), whose sum is σ = 135777600. Its totient is φ = 13962240.

The previous prime is 47904163. The next prime is 47904173. The reversal of 47904168 is 86140974.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47904163) and next prime (47904173).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (47904163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1888 + ... + 9968.

It is an arithmetic number, because the mean of its divisors is an integer number (2121525).

Almost surely, 2^47904168 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 47904168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67888800).

47904168 is an abundant number, since it is smaller than the sum of its proper divisors (87873432).

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

47904168 is a wasteful number, since it uses less digits than its factorization.

47904168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8122 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 47904168 is about 6921.2836959628. The cubic root of 47904168 is about 363.1820986798.

The spelling of 47904168 in words is "forty-seven million, nine hundred four thousand, one hundred sixty-eight".