280368 has 80 divisors (see below), whose sum is σ = 892800. Its totient is φ = 83520.

The previous prime is 280351. The next prime is 280373. The reversal of 280368 is 863082.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 280368.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4723 + ... + 4781.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2²⁸⁰³⁶⁸ 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 280368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400).

280368 is an abundant number, since it is smaller than the sum of its proper divisors (612432).

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

280368 is a wasteful number, since it uses less digits than its factorization.

280368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 280368 is about 529.4978753498. The cubic root of 280368 is about 65.4499744283.

The spelling of 280368 in words is "two hundred eighty thousand, three hundred sixty-eight".