854820 has 48 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 227808.

The previous prime is 854807. The next prime is 854849. The reversal of 854820 is 28458.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 854820.

It is an unprimeable number.

854820 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, 252 + ... + 1331.

It is an arithmetic number, because the mean of its divisors is an integer number (55440).

2⁸⁵⁴⁸²⁰ 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 854820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560).

854820 is an abundant number, since it is smaller than the sum of its proper divisors (1806300).

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

854820 is a wasteful number, since it uses less digits than its factorization.

854820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 854820 is about 924.5647624693. The cubic root of 854820 is about 94.9055386076.

The spelling of 854820 in words is "eight hundred fifty-four thousand, eight hundred twenty".