47580 has 48 divisors (see below), whose sum is σ = 145824. Its totient is φ = 11520.

The previous prime is 47569. The next prime is 47581. The reversal of 47580 is 8574.

47580 = 13² + 14² + ... + 52².

It is a self number, because there is not a number n which added to its sum of digits gives 47580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750 + ... + 810.

It is an arithmetic number, because the mean of its divisors is an integer number (3038).

2⁴⁷⁵⁸⁰ 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 47580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912).

47580 is an abundant number, since it is smaller than the sum of its proper divisors (98244).

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

47580 is a wasteful number, since it uses less digits than its factorization.

47580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 47580 is about 218.1284025523. The cubic root of 47580 is about 36.2361024808.

It can be divided in two parts, 475 and 80, that added together give a palindrome (555).

The spelling of 47580 in words is "forty-seven thousand, five hundred eighty".