268824 has 32 divisors (see below), whose sum is σ = 702720. Its totient is φ = 85536.

The previous prime is 268823. The next prime is 268841. The reversal of 268824 is 428862.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹⁰ + 6⁴ + 8 + 8⁴ + 2¹⁸ + 4⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 268791 and 268800.

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 268824.

It is not an unprimeable number, because it can be changed into a prime (268823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (21960).

2²⁶⁸⁸²⁴ is an apocalyptic number.

268824 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 268824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351360).

268824 is an abundant number, since it is smaller than the sum of its proper divisors (433896).

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

268824 is a wasteful number, since it uses less digits than its factorization.

268824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 268824 is about 518.4824008585. The cubic root of 268824 is about 64.5390665322.

The spelling of 268824 in words is "two hundred sixty-eight thousand, eight hundred twenty-four".