47743668 has 84 divisors (see below), whose sum is σ = 143226720. Its totient is φ = 13635216.

The previous prime is 47743649. The next prime is 47743669. The reversal of 47743668 is 86634774.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47743669) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 19243 + ... + 21581.

It is an arithmetic number, because the mean of its divisors is an integer number (1705080).

Almost surely, 2^47743668 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 47743668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71613360).

47743668 is an abundant number, since it is smaller than the sum of its proper divisors (95483052).

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

47743668 is a wasteful number, since it uses less digits than its factorization.

47743668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2351 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 47743668 is about 6909.6792979125. The cubic root of 47743668 is about 362.7760383405.

The spelling of 47743668 in words is "forty-seven million, seven hundred forty-three thousand, six hundred sixty-eight".