268240 has 40 divisors (see below), whose sum is σ = 714240. Its totient is φ = 91776.

The previous prime is 268237. The next prime is 268253. The reversal of 268240 is 42862.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321 + ... + 799.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2²⁶⁸²⁴⁰ is an apocalyptic number.

268240 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 268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

268240 is an abundant number, since it is smaller than the sum of its proper divisors (446000).

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

268240 is a wasteful number, since it uses less digits than its factorization.

268240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 268240 is about 517.9189125722. The cubic root of 268240 is about 64.4922972193.

The spelling of 268240 in words is "two hundred sixty-eight thousand, two hundred forty".