861180 has 48 divisors (see below), whose sum is σ = 2494464. Its totient is φ = 221760.

The previous prime is 861167. The next prime is 861191. The reversal of 861180 is 81168.

It is a super-3 number, since 3×861180³ = 1916033334105096000, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 861180.

It is a congruent number.

It is an unprimeable number.

861180 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 15 ways as a sum of consecutive naturals, for example, 1629 + ... + 2091.

It is an arithmetic number, because the mean of its divisors is an integer number (51968).

2⁸⁶¹¹⁸⁰ 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 861180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247232).

861180 is an abundant number, since it is smaller than the sum of its proper divisors (1633284).

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

861180 is a wasteful number, since it uses less digits than its factorization.

861180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 861180 is about 927.9978448251. The cubic root of 861180 is about 95.1403281632.

The spelling of 861180 in words is "eight hundred sixty-one thousand, one hundred eighty".