47188960 has 144 divisors (see below), whose sum is σ = 139962816. Its totient is φ = 14902272.

The previous prime is 47188927. The next prime is 47188961. The reversal of 47188960 is 6988174.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47188961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101689 + ... + 102151.

It is an arithmetic number, because the mean of its divisors is an integer number (971964).

Almost surely, 2^47188960 is an apocalyptic number.

47188960 is a gapful number since it is divisible by the number (40) 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 47188960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69981408).

47188960 is an abundant number, since it is smaller than the sum of its proper divisors (92773856).

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

47188960 is a wasteful number, since it uses less digits than its factorization.

47188960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 47188960 is about 6869.4221008757. The cubic root of 47188960 is about 361.3655952034.

The spelling of 47188960 in words is "forty-seven million, one hundred eighty-eight thousand, nine hundred sixty".