905220 has 72 divisors (see below), whose sum is σ = 2830464. Its totient is φ = 234048.

The previous prime is 905213. The next prime is 905227. The reversal of 905220 is 22509.

It is an interprime number because it is at equal distance from previous prime (905213) and next prime (905227).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 905193 and 905202.

It is not an unprimeable number, because it can be changed into a prime (905227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8407 + ... + 8513.

It is an arithmetic number, because the mean of its divisors is an integer number (39312).

2⁹⁰⁵²²⁰ is an apocalyptic number.

905220 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232).

905220 is an abundant number, since it is smaller than the sum of its proper divisors (1925244).

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

905220 is a wasteful number, since it uses less digits than its factorization.

905220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 905220 is about 951.4305019285. The cubic root of 905220 is about 96.7352400215.

Adding to 905220 its reverse (22509), we get a palindrome (927729).

The spelling of 905220 in words is "nine hundred five thousand, two hundred twenty".