47533668 has 192 divisors, whose sum is σ = 150528000. Its totient is φ = 11321856.

The previous prime is 47533667. The next prime is 47533669. The reversal of 47533668 is 86633574.

47533668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47533667) and next prime (47533669).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (47533667) 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 63 ways as a sum of consecutive naturals, for example, 601653 + ... + 601731.

It is an arithmetic number, because the mean of its divisors is an integer number (784000).

Almost surely, 2^47533668 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 47533668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75264000).

47533668 is an abundant number, since it is smaller than the sum of its proper divisors (102994332).

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

47533668 is a wasteful number, since it uses less digits than its factorization.

47533668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 47533668 is about 6894.4664768204. The cubic root of 47533668 is about 362.2433677851.

It can be divided in two parts, 475 and 33668, that added together give a palindrome (34143).

The spelling of 47533668 in words is "forty-seven million, five hundred thirty-three thousand, six hundred sixty-eight".