268140 has 48 divisors (see below), whose sum is σ = 776160. Its totient is φ = 69120.

The previous prime is 268133. The next prime is 268153. The reversal of 268140 is 41862.

268140 = 60² + 61² + ... + 100².

It is a zygodrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268140.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2406 + ... + 2514.

It is an arithmetic number, because the mean of its divisors is an integer number (16170).

2²⁶⁸¹⁴⁰ is an apocalyptic number.

268140 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 268140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388080).

268140 is an abundant number, since it is smaller than the sum of its proper divisors (508020).

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

268140 is a wasteful number, since it uses less digits than its factorization.

268140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 268140 is about 517.8223633641. The cubic root of 268140 is about 64.4842819701.

The spelling of 268140 in words is "two hundred sixty-eight thousand, one hundred forty".