920200 has 48 divisors (see below), whose sum is σ = 2209680. Its totient is φ = 356160.

The previous prime is 920197. The next prime is 920201. The reversal of 920200 is 2029.

It is not an unprimeable number, because it can be changed into a prime (920201) 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 11 ways as a sum of consecutive naturals, for example, 8547 + ... + 8653.

It is an arithmetic number, because the mean of its divisors is an integer number (46035).

2⁹²⁰²⁰⁰ 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 920200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104840).

920200 is an abundant number, since it is smaller than the sum of its proper divisors (1289480).

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

920200 is a wasteful number, since it uses less digits than its factorization.

920200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 920200 is about 959.2705562040. The cubic root of 920200 is about 97.2659298564.

Adding to 920200 its reverse (2029), we get a palindrome (922229).

The spelling of 920200 in words is "nine hundred twenty thousand, two hundred".