280120 has 32 divisors (see below), whose sum is σ = 648000. Its totient is φ = 108928.

The previous prime is 280103. The next prime is 280121. The reversal of 280120 is 21082.

280120 = 53² + 54² + ... + 99².

280120 is nontrivially palindromic in base 3.

280120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 280120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1806 + ... + 1954.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2²⁸⁰¹²⁰ is an apocalyptic number.

280120 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 280120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324000).

280120 is an abundant number, since it is smaller than the sum of its proper divisors (367880).

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

280120 is a wasteful number, since it uses less digits than its factorization.

280120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 280120 is about 529.2636394086. The cubic root of 280120 is about 65.4306707727.

It can be divided in two parts, 280 and 120, that added together give a square (400 = 20²).

The spelling of 280120 in words is "two hundred eighty thousand, one hundred twenty".