268398 has 48 divisors (see below), whose sum is σ = 663936. Its totient is φ = 77760.

The previous prime is 268343. The next prime is 268403. The reversal of 268398 is 893862.

268398 is a `hidden beast` number, since 268 + 398 = 666.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

268398 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 23 ways as a sum of consecutive naturals, for example, 7236 + ... + 7272.

It is an arithmetic number, because the mean of its divisors is an integer number (13832).

268398 is a Friedman number, since it can be written as 2886*93, using all its digits and the basic arithmetic operations.

2²⁶⁸³⁹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331968).

268398 is an abundant number, since it is smaller than the sum of its proper divisors (395538).

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

268398 is a wasteful number, since it uses less digits than its factorization.

268398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 86 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 268398 is about 518.0714236474. The cubic root of 268398 is about 64.5049572537.

It can be divided in two parts, 268 and 398, that added together give a palindrome (666).

The spelling of 268398 in words is "two hundred sixty-eight thousand, three hundred ninety-eight".