605268 has 72 divisors (see below), whose sum is σ = 1729728. Its totient is φ = 177408.

The previous prime is 605261. The next prime is 605309. The reversal of 605268 is 862506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (605261) by changing a digit.

605268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14055 + ... + 14097.

It is an arithmetic number, because the mean of its divisors is an integer number (24024).

2⁶⁰⁵²⁶⁸ is an apocalyptic number.

605268 is a gapful number since it is divisible by the number (68) 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 605268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864864).

605268 is an abundant number, since it is smaller than the sum of its proper divisors (1124460).

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

605268 is a wasteful number, since it uses less digits than its factorization.

605268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 605268 is about 777.9897171557. The cubic root of 605268 is about 84.5893922283.

The spelling of 605268 in words is "six hundred five thousand, two hundred sixty-eight".