60580 has 24 divisors (see below), whose sum is σ = 137592. Its totient is φ = 22272.

The previous prime is 60539. The next prime is 60589. The reversal of 60580 is 8506.

60580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 60516 = 8^2 + 246^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (60589) by changing a digit.

60580 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 7 ways as a sum of consecutive naturals, for example, 144 + ... + 376.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2⁶⁰⁵⁸⁰ 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 60580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796).

60580 is an abundant number, since it is smaller than the sum of its proper divisors (77012).

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

60580 is a wasteful number, since it uses less digits than its factorization.

60580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 60580 is about 246.1300469264. The cubic root of 60580 is about 39.2744178461.

It can be divided in two parts, 605 and 80, that multiplied together give a square (48400 = 220²).

The spelling of 60580 in words is "sixty thousand, five hundred eighty".