47680 has 28 divisors (see below), whose sum is σ = 114300. Its totient is φ = 18944.

The previous prime is 47659. The next prime is 47681. The reversal of 47680 is 8674.

It can be written as a sum of positive squares in 2 ways, for example, as 10816 + 36864 = 104^2 + 192^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (47681) by changing a digit.

47680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 246 + ... + 394.

2⁴⁷⁶⁸⁰ is an apocalyptic number.

47680 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 47680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57150).

47680 is an abundant number, since it is smaller than the sum of its proper divisors (66620).

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

47680 is a wasteful number, since it uses less digits than its factorization.

47680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 47680 is about 218.3575050233. The cubic root of 47680 is about 36.2614708050.

It can be divided in two parts, 47 and 680, that added together give a palindrome (727).

The spelling of 47680 in words is "forty-seven thousand, six hundred eighty".