854080 has 56 divisors (see below), whose sum is σ = 2167128. Its totient is φ = 319488.

The previous prime is 854053. The next prime is 854083. The reversal of 854080 is 80458.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 746496 = 328^2 + 864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854083) by changing a digit.

854080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5362 + ... + 5518.

2⁸⁵⁴⁰⁸⁰ is an apocalyptic number.

854080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083564).

854080 is an abundant number, since it is smaller than the sum of its proper divisors (1313048).

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

854080 is a wasteful number, since it uses less digits than its factorization.

854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 854080 is about 924.1644875237. The cubic root of 854080 is about 94.8781447805.

The spelling of 854080 in words is "eight hundred fifty-four thousand, eighty".