279616 has 28 divisors (see below), whose sum is σ = 589788. Its totient is φ = 131072.

The previous prime is 279613. The next prime is 279619. The reversal of 279616 is 616972.

It is an interprime number because it is at equal distance from previous prime (279613) and next prime (279619).

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 25600 = 504^2 + 160^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (279613) by changing a digit.

In principle, a polygon with 279616 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 960 + ... + 1216.

2²⁷⁹⁶¹⁶ 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 279616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294894).

279616 is an abundant number, since it is smaller than the sum of its proper divisors (310172).

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

279616 is a wasteful number, since it uses less digits than its factorization.

279616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 279616 is about 528.7872918291. The cubic root of 279616 is about 65.3914056296.

The spelling of 279616 in words is "two hundred seventy-nine thousand, six hundred sixteen".