905268 has 48 divisors (see below), whose sum is σ = 2602880. Its totient is φ = 238464.

The previous prime is 905249. The next prime is 905269. The reversal of 905268 is 862509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905269) by changing a digit.

905268 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 15 ways as a sum of consecutive naturals, for example, 678 + ... + 1506.

2⁹⁰⁵²⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301440).

905268 is an abundant number, since it is smaller than the sum of its proper divisors (1697612).

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

905268 is a wasteful number, since it uses less digits than its factorization.

905268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 905268 is about 951.4557267682. The cubic root of 905268 is about 96.7369498119.

The spelling of 905268 in words is "nine hundred five thousand, two hundred sixty-eight".