268248 has 16 divisors (see below), whose sum is σ = 670680. Its totient is φ = 89408.

The previous prime is 268237. The next prime is 268253. The reversal of 268248 is 842862.

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 + 6³ + 2¹⁸ + 8³ + 4⁴ + 8⁴ .

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 268248.

It is an unprimeable number.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5565 + ... + 5612.

2²⁶⁸²⁴⁸ is an apocalyptic number.

It is an amenable number.

268248 is an abundant number, since it is smaller than the sum of its proper divisors (402432).

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

268248 is a wasteful number, since it uses less digits than its factorization.

268248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11186 (or 11182 counting only the distinct ones).

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

The square root of 268248 is about 517.9266357314. The cubic root of 268248 is about 64.4929383532.

Adding to 268248 its sum of digits (30), we get a triangular number (268278 = T₇₃₂).

The spelling of 268248 in words is "two hundred sixty-eight thousand, two hundred forty-eight".