853866 has 48 divisors (see below), whose sum is σ = 2063880. Its totient is φ = 253440.

The previous prime is 853843. The next prime is 853873. The reversal of 853866 is 668358.

853866 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 221841 + 632025 = 471^2 + 795^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 853866.

It is an unprimeable number.

853866 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 23 ways as a sum of consecutive naturals, for example, 9550 + ... + 9638.

2⁸⁵³⁸⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031940).

853866 is an abundant number, since it is smaller than the sum of its proper divisors (1210014).

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

853866 is a wasteful number, since it uses less digits than its factorization.

853866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 148 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 853866 is about 924.0487000153. The cubic root of 853866 is about 94.8702198324.

The spelling of 853866 in words is "eight hundred fifty-three thousand, eight hundred sixty-six".