905120 has 24 divisors (see below), whose sum is σ = 2138724. Its totient is φ = 361984.

The previous prime is 905111. The next prime is 905123. The reversal of 905120 is 21509.

It can be written as a sum of positive squares in 2 ways, for example, as 824464 + 80656 = 908^2 + 284^2 .

It is not an unprimeable number, because it can be changed into a prime (905123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2669 + ... + 2988.

2⁹⁰⁵¹²⁰ is an apocalyptic number.

It is an amenable number.

905120 is an abundant number, since it is smaller than the sum of its proper divisors (1233604).

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

905120 is a wasteful number, since it uses less digits than its factorization.

905120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 905120 is about 951.3779480312. The cubic root of 905120 is about 96.7316777640.

Adding to 905120 its reverse (21509), we get a palindrome (926629).

The spelling of 905120 in words is "nine hundred five thousand, one hundred twenty".