905168 has 40 divisors (see below), whose sum is σ = 1979040. Its totient is φ = 397440.

The previous prime is 905167. The next prime is 905171. The reversal of 905168 is 861509.

It is a self number, because there is not a number n which added to its sum of digits gives 905168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6443 + ... + 6581.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

2⁹⁰⁵¹⁶⁸ 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 905168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989520).

905168 is an abundant number, since it is smaller than the sum of its proper divisors (1073872).

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

905168 is a wasteful number, since it uses less digits than its factorization.

905168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 905168 is about 951.4031742642. The cubic root of 905168 is about 96.7333876803.

It can be divided in two parts, 9051 and 68, that added together give a palindrome (9119).

The spelling of 905168 in words is "nine hundred five thousand, one hundred sixty-eight".