268840 has 64 divisors (see below), whose sum is σ = 725760. Its totient is φ = 88320.

The previous prime is 268823. The next prime is 268841. The reversal of 268840 is 48862.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 268799 and 268808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5697 + ... + 5743.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²⁶⁸⁸⁴⁰ is an apocalyptic number.

268840 is a gapful number since it is divisible by the number (20) 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 268840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

268840 is an abundant number, since it is smaller than the sum of its proper divisors (456920).

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

268840 is a wasteful number, since it uses less digits than its factorization.

268840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 268840 is about 518.4978302751. The cubic root of 268840 is about 64.5403469295.

The spelling of 268840 in words is "two hundred sixty-eight thousand, eight hundred forty".