280896 has 112 divisors (see below), whose sum is σ = 975360. Its totient is φ = 69120.

The previous prime is 280883. The next prime is 280897. The reversal of 280896 is 698082.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 280896.

It is not an unprimeable number, because it can be changed into a prime (280897) by changing a digit.

280896 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 15 ways as a sum of consecutive naturals, for example, 14775 + ... + 14793.

2²⁸⁰⁸⁹⁶ 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 280896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487680).

280896 is an abundant number, since it is smaller than the sum of its proper divisors (694464).

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

280896 is a wasteful number, since it uses less digits than its factorization.

280896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 280896 is about 529.9962264017. The cubic root of 280896 is about 65.4910346488.

It can be divided in two parts, 280 and 896, that added together give a triangular number (1176 = T₄₈).

The spelling of 280896 in words is "two hundred eighty thousand, eight hundred ninety-six".