281120 has 48 divisors (see below), whose sum is σ = 762048. Its totient is φ = 96000.

The previous prime is 281117. The next prime is 281131. The reversal of 281120 is 21182.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 281095 and 281104.

It is a congruent number.

It is an unprimeable 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, 995 + ... + 1245.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2²⁸¹¹²⁰ is an apocalyptic number.

281120 is a gapful number since it is divisible by the number (20) 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 281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024).

281120 is an abundant number, since it is smaller than the sum of its proper divisors (480928).

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

281120 is a wasteful number, since it uses less digits than its factorization.

281120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 281120 is about 530.2075065481. The cubic root of 281120 is about 65.5084385919.

The spelling of 281120 in words is "two hundred eighty-one thousand, one hundred twenty".