47360 has 36 divisors (see below), whose sum is σ = 116508. Its totient is φ = 18432.

The previous prime is 47353. The next prime is 47363. The reversal of 47360 is 6374.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 16384 = 176^2 + 128^2 .

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

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (47363) by changing a digit.

47360 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1262 + ... + 1298.

2⁴⁷³⁶⁰ is an apocalyptic number.

47360 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 47360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58254).

47360 is an abundant number, since it is smaller than the sum of its proper divisors (69148).

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

47360 is an equidigital number, since it uses as much as digits as its factorization.

47360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 47360 is about 217.6235281398. The cubic root of 47360 is about 36.1801667860.

The spelling of 47360 in words is "forty-seven thousand, three hundred sixty".