279360 has 84 divisors (see below), whose sum is σ = 970788. Its totient is φ = 73728.

The previous prime is 279353. The next prime is 279397. The reversal of 279360 is 63972.

279360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 166464 = 336^2 + 408^2 .

It is a nialpdrome in base 6.

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 11 ways as a sum of consecutive naturals, for example, 2832 + ... + 2928.

It is an arithmetic number, because the mean of its divisors is an integer number (11557).

2²⁷⁹³⁶⁰ is an apocalyptic number.

279360 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 279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485394).

279360 is an abundant number, since it is smaller than the sum of its proper divisors (691428).

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

279360 is a wasteful number, since it uses less digits than its factorization.

279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 279360 is about 528.5451730931. The cubic root of 279360 is about 65.3714433585.

The spelling of 279360 in words is "two hundred seventy-nine thousand, three hundred sixty".