279864 has 72 divisors (see below), whose sum is σ = 856440. Its totient is φ = 82368.

The previous prime is 279863. The next prime is 279883. The reversal of 279864 is 468972.

279864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 279864.

It is not an unprimeable number, because it can be changed into a prime (279863) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 12157 + ... + 12179.

It is an arithmetic number, because the mean of its divisors is an integer number (11895).

279864 is a Friedman number, since it can be written as (6^7/(4*2)-9)*8, using all its digits and the basic arithmetic operations.

2²⁷⁹⁸⁶⁴ is an apocalyptic number.

279864 is a gapful number since it is divisible by the number (24) 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 279864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428220).

279864 is an abundant number, since it is smaller than the sum of its proper divisors (576576).

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

279864 is a wasteful number, since it uses less digits than its factorization.

279864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 279864 is about 529.0217386838. The cubic root of 279864 is about 65.4107324642.

The spelling of 279864 in words is "two hundred seventy-nine thousand, eight hundred sixty-four".