61180 has 48 divisors (see below), whose sum is σ = 161280. Its totient is φ = 19008.

The previous prime is 61169. The next prime is 61211. The reversal of 61180 is 8116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2649 + ... + 2671.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2⁶¹¹⁸⁰ 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 61180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

61180 is an abundant number, since it is smaller than the sum of its proper divisors (100100).

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

61180 is a wasteful number, since it uses less digits than its factorization.

61180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 61180 is about 247.3459116298. The cubic root of 61180 is about 39.4036534529.

Adding to 61180 its reverse (8116), we get a palindrome (69296).

The spelling of 61180 in words is "sixty-one thousand, one hundred eighty".