905160 has 64 divisors (see below), whose sum is σ = 2865600. Its totient is φ = 228096.

The previous prime is 905147. The next prime is 905161. The reversal of 905160 is 61509.

It is a congruent number.

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

905160 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, 2082 + ... + 2478.

It is an arithmetic number, because the mean of its divisors is an integer number (44775).

2⁹⁰⁵¹⁶⁰ 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 905160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432800).

905160 is an abundant number, since it is smaller than the sum of its proper divisors (1960440).

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

905160 is a wasteful number, since it uses less digits than its factorization.

905160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 905160 is about 951.3989699385. The cubic root of 905160 is about 96.7331026984.

Adding to 905160 its reverse (61509), we get a palindrome (966669).

The spelling of 905160 in words is "nine hundred five thousand, one hundred sixty".