268120 has 16 divisors (see below), whose sum is σ = 603360. Its totient is φ = 107232.

The previous prime is 268091. The next prime is 268123. The reversal of 268120 is 21862.

It is a happy number.

268120 is nontrivially palindromic in base 14.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3312 + ... + 3391.

It is an arithmetic number, because the mean of its divisors is an integer number (37710).

2²⁶⁸¹²⁰ is an apocalyptic number.

268120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268120 is an abundant number, since it is smaller than the sum of its proper divisors (335240).

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

268120 is a wasteful number, since it uses less digits than its factorization.

268120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 268120 is about 517.8030513622. The cubic root of 268120 is about 64.4826786811.

Adding to 268120 its reverse (21862), we get a palindrome (289982).

It can be divided in two parts, 2681 and 20, that added together give a triangular number (2701 = T₇₃).

The spelling of 268120 in words is "two hundred sixty-eight thousand, one hundred twenty".