905080 has 64 divisors (see below), whose sum is σ = 2371680. Its totient is φ = 309760.

The previous prime is 905071. The next prime is 905083. The reversal of 905080 is 80509.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53232 + ... + 53248.

2⁹⁰⁵⁰⁸⁰ 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 905080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185840).

905080 is an abundant number, since it is smaller than the sum of its proper divisors (1466600).

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

905080 is a wasteful number, since it uses less digits than its factorization.

905080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 905080 is about 951.3569256593. The cubic root of 905080 is about 96.7302527875.

Adding to 905080 its reverse (80509), we get a palindrome (985589).

The spelling of 905080 in words is "nine hundred five thousand, eighty".