855684 has 60 divisors (see below), whose sum is σ = 2371600. Its totient is φ = 268272.

The previous prime is 855683. The next prime is 855697. The reversal of 855684 is 486558.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (855683) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6087 + ... + 6225.

2⁸⁵⁵⁶⁸⁴ 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 855684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185800).

855684 is an abundant number, since it is smaller than the sum of its proper divisors (1515916).

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

855684 is a wasteful number, since it uses less digits than its factorization.

855684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 855684 is about 925.0318913421. The cubic root of 855684 is about 94.9375027539.

The spelling of 855684 in words is "eight hundred fifty-five thousand, six hundred eighty-four".