279264 has 24 divisors (see below), whose sum is σ = 733320. Its totient is φ = 93056.

The previous prime is 279221. The next prime is 279269. The reversal of 279264 is 462972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a d-powerful number, because it can be written as 2¹⁷ + 7⁵ + 2¹⁷ + 9² + 6³ + 4² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (279269) by changing a digit.

279264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1359 + ... + 1550.

It is an arithmetic number, because the mean of its divisors is an integer number (30555).

2²⁷⁹²⁶⁴ is an apocalyptic number.

279264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

279264 is an abundant number, since it is smaller than the sum of its proper divisors (454056).

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

279264 is a wasteful number, since it uses less digits than its factorization.

279264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2914 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 279264 is about 528.4543499679. The cubic root of 279264 is about 65.3639543627.

The spelling of 279264 in words is "two hundred seventy-nine thousand, two hundred sixty-four".