47160 has 48 divisors (see below), whose sum is σ = 154440. Its totient is φ = 12480.

The previous prime is 47149. The next prime is 47161. The reversal of 47160 is 6174.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47161) by changing a digit.

47160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295 + ... + 425.

2⁴⁷¹⁶⁰ is an apocalyptic number.

47160 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 47160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220).

47160 is an abundant number, since it is smaller than the sum of its proper divisors (107280).

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

47160 is a wasteful number, since it uses less digits than its factorization.

47160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 47160 is about 217.1635328502. The cubic root of 47160 is about 36.1291656375.

The spelling of 47160 in words is "forty-seven thousand, one hundred sixty".