47919168 has 112 divisors (see below), whose sum is σ = 153741120. Its totient is φ = 14515200.

The previous prime is 47919167. The next prime is 47919169. The reversal of 47919168 is 86191974.

It is a happy number.

47919168 is a `hidden beast` number, since 479 + 19 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (47919167) and next prime (47919169).

It is not an unprimeable number, because it can be changed into a prime (47919167) 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, 17748 + ... + 20268.

Almost surely, 2^47919168 is an apocalyptic number.

47919168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47919168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76870560).

47919168 is an abundant number, since it is smaller than the sum of its proper divisors (105821952).

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

47919168 is a wasteful number, since it uses less digits than its factorization.

47919168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2537 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 47919168 is about 6922.3672251622. The cubic root of 47919168 is about 363.2200018741.

The spelling of 47919168 in words is "forty-seven million, nine hundred nineteen thousand, one hundred sixty-eight".