854864 has 30 divisors (see below), whose sum is σ = 1748586. Its totient is φ = 404800.

The previous prime is 854849. The next prime is 854869. The reversal of 854864 is 468458.

It can be written as a sum of positive squares in only one way, i.e., 846400 + 8464 = 920^2 + 92^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8414 + ... + 8514.

2⁸⁵⁴⁸⁶⁴ 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 854864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874293).

854864 is an abundant number, since it is smaller than the sum of its proper divisors (893722).

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

854864 is a wasteful number, since it uses less digits than its factorization.

854864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 854864 is about 924.5885571431. The cubic root of 854864 is about 94.9071669317.

It can be divided in two parts, 8 and 54864, that added together give a cube (54872 = 38³).

The spelling of 854864 in words is "eight hundred fifty-four thousand, eight hundred sixty-four".