47668608 has 128 divisors (see below), whose sum is σ = 151653600. Its totient is φ = 14653440.

The previous prime is 47668603. The next prime is 47668661. The reversal of 47668608 is 80686674.

It is a happy number.

47668608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47668603) 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 15 ways as a sum of consecutive naturals, for example, 44398 + ... + 45458.

Almost surely, 2^47668608 is an apocalyptic number.

47668608 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 47668608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75826800).

47668608 is an abundant number, since it is smaller than the sum of its proper divisors (103984992).

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

47668608 is a wasteful number, since it uses less digits than its factorization.

47668608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 47668608 is about 6904.2456503227. The cubic root of 47668608 is about 362.5858263684.

The spelling of 47668608 in words is "forty-seven million, six hundred sixty-eight thousand, six hundred eight".