61580 has 12 divisors (see below), whose sum is σ = 129360. Its totient is φ = 24624.

The previous prime is 61561. The next prime is 61583. The reversal of 61580 is 8516.

61580 = 18² + 19² + ... + 57².

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 3079 = 61580 / (6 + 1 + 5 + 8 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61583) 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 3 ways as a sum of consecutive naturals, for example, 1520 + ... + 1559.

It is an arithmetic number, because the mean of its divisors is an integer number (10780).

2⁶¹⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

61580 is an abundant number, since it is smaller than the sum of its proper divisors (67780).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64680).

61580 is a wasteful number, since it uses less digits than its factorization.

61580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 61580 is about 248.1531785007. The cubic root of 61580 is about 39.4893417807.

The spelling of 61580 in words is "sixty-one thousand, five hundred eighty".