268026 has 32 divisors (see below), whose sum is σ = 608256. Its totient is φ = 78000.

The previous prime is 268013. The next prime is 268043. The reversal of 268026 is 620862.

It is a junction number, because it is equal to n+sod(n) for n = 267987 and 268005.

It is an unprimeable number.

268026 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1981 + ... + 2111.

It is an arithmetic number, because the mean of its divisors is an integer number (19008).

2²⁶⁸⁰²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304128).

268026 is an abundant number, since it is smaller than the sum of its proper divisors (340230).

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

268026 is a wasteful number, since it uses less digits than its factorization.

268026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 268026 is about 517.7122753036. The cubic root of 268026 is about 64.4751421549.

Adding to 268026 its reverse (620862), we get a palindrome (888888).

Subtracting 268026 from its reverse (620862), we obtain a square (352836 = 594²).

The spelling of 268026 in words is "two hundred sixty-eight thousand, twenty-six".