268920 has 80 divisors (see below), whose sum is σ = 914760. Its totient is φ = 70848.

The previous prime is 268913. The next prime is 268921. The reversal of 268920 is 29862.

268920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6 and base 13.

It is a zygodrome in base 3, base 7 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3199 + ... + 3281.

2²⁶⁸⁹²⁰ is an apocalyptic number.

268920 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 268920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457380).

268920 is an abundant number, since it is smaller than the sum of its proper divisors (645840).

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

268920 is a wasteful number, since it uses less digits than its factorization.

268920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 268920 is about 518.5749704720. The cubic root of 268920 is about 64.5467481541.

The spelling of 268920 in words is "two hundred sixty-eight thousand, nine hundred twenty".