268424 has 32 divisors (see below), whose sum is σ = 567000. Its totient is φ = 118272.

The previous prime is 268403. The next prime is 268439. The reversal of 268424 is 424862.

It can be written as a sum of positive squares in 4 ways, for example, as 145924 + 122500 = 382^2 + 350^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 268393 and 268402.

It is a congruent number.

It is an unprimeable number.

268424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 2972 + ... + 3060.

2²⁶⁸⁴²⁴ 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 268424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283500).

268424 is an abundant number, since it is smaller than the sum of its proper divisors (298576).

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

268424 is a wasteful number, since it uses less digits than its factorization.

268424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 268424 is about 518.0965161049. The cubic root of 268424 is about 64.5070400745.

It can be divided in two parts, 26 and 8424, that multiplied together give a square (219024 = 468²).

The spelling of 268424 in words is "two hundred sixty-eight thousand, four hundred twenty-four".