279648 has 36 divisors (see below), whose sum is σ = 796068. Its totient is φ = 93120.

The previous prime is 279641. The next prime is 279649. The reversal of 279648 is 846972.

279648 is a `hidden beast` number, since 2 + 7 + 9 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 zygodrome 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 279648.

It is not an unprimeable number, because it can be changed into a prime (279641) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 198 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (22113).

279648 is a Friedman number, since it can be written as 6^7-9*(24+8), using all its digits and the basic arithmetic operations.

2²⁷⁹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

279648 is an abundant number, since it is smaller than the sum of its proper divisors (516420).

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

279648 is a wasteful number, since it uses less digits than its factorization.

279648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 976 counting only the distinct ones).

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

The square root of 279648 is about 528.8175488767. The cubic root of 279648 is about 65.3939000567.

It can be divided in two parts, 27964 and 8, that added together give a palindrome (27972).

The spelling of 279648 in words is "two hundred seventy-nine thousand, six hundred forty-eight".