47180 has 24 divisors (see below), whose sum is σ = 113568. Its totient is φ = 16128.

The previous prime is 47161. The next prime is 47189. The reversal of 47180 is 8174.

47180 = T₇₅ + T₇₆ + ... + T₈₈.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (47189) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (4732).

2⁴⁷¹⁸⁰ 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 47180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56784).

47180 is an abundant number, since it is smaller than the sum of its proper divisors (66388).

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

47180 is a wasteful number, since it uses less digits than its factorization.

47180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 47180 is about 217.2095762162. The cubic root of 47180 is about 36.1342722335.

The spelling of 47180 in words is "forty-seven thousand, one hundred eighty".