47000768 has 56 divisors (see below), whose sum is σ = 96481392. Its totient is φ = 22708224.

The previous prime is 47000761. The next prime is 47000773. The reversal of 47000768 is 86700074.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (47000761) 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 7 ways as a sum of consecutive naturals, for example, 415880 + ... + 415992.

It is an arithmetic number, because the mean of its divisors is an integer number (1722882).

Almost surely, 2^47000768 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 47000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48240696).

47000768 is an abundant number, since it is smaller than the sum of its proper divisors (49480624).

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

47000768 is a wasteful number, since it uses less digits than its factorization.

47000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 47000768 is about 6855.7106123290. The cubic root of 47000768 is about 360.8845736616.

The spelling of 47000768 in words is "forty-seven million, seven hundred sixty-eight", and thus it is an aban number.