861100 has 36 divisors (see below), whose sum is σ = 1909600. Its totient is φ = 336960.

The previous prime is 861089. The next prime is 861109. The reversal of 861100 is 1168.

861100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (861109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7846 + ... + 7954.

2⁸⁶¹¹⁰⁰ 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 861100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954800).

861100 is an abundant number, since it is smaller than the sum of its proper divisors (1048500).

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

861100 is a wasteful number, since it uses less digits than its factorization.

861100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

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

The square root of 861100 is about 927.9547402756. The cubic root of 861100 is about 95.1373820265.

Adding to 861100 its reverse (1168), we get a palindrome (862268).

It can be divided in two parts, 861 and 100, that added together give a square (961 = 31²).

The spelling of 861100 in words is "eight hundred sixty-one thousand, one hundred".