279560 has 32 divisors (see below), whose sum is σ = 653400. Its totient is φ = 107520.

The previous prime is 279557. The next prime is 279571. The reversal of 279560 is 65972.

279560 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 252004 + 27556 = 502^2 + 166^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1040 + ... + 1280.

2²⁷⁹⁵⁶⁰ is an apocalyptic number.

279560 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 279560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326700).

279560 is an abundant number, since it is smaller than the sum of its proper divisors (373840).

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

279560 is a wasteful number, since it uses less digits than its factorization.

279560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 279560 is about 528.7343378295. The cubic root of 279560 is about 65.3870399243.

The spelling of 279560 in words is "two hundred seventy-nine thousand, five hundred sixty".