268352 has 28 divisors (see below), whose sum is σ = 609600. Its totient is φ = 114816.

The previous prime is 268343. The next prime is 268403. The reversal of 268352 is 253862.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-3 number, since 3×268352³ = 57974333419290624, which contains 333 as substring.

It is a d-powerful number, because it can be written as 2¹¹ + 6² + 3 + 8⁴ + 5² + 2¹⁸ .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149 + ... + 747.

2²⁶⁸³⁵² 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 268352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304800).

268352 is an abundant number, since it is smaller than the sum of its proper divisors (341248).

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

268352 is an equidigital number, since it uses as much as digits as its factorization.

268352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 608 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 268352 is about 518.0270263220. The cubic root of 268352 is about 64.5012719337.

The spelling of 268352 in words is "two hundred sixty-eight thousand, three hundred fifty-two".