920830200 has 144 divisors (see below), whose sum is σ = 2951474040. Its totient is φ = 237484800.

The previous prime is 920830189. The next prime is 920830201. The reversal of 920830200 is 2038029.

920830200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920830201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 575802 + ... + 577398.

Almost surely, 2^920830200 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 920830200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475737020).

920830200 is an abundant number, since it is smaller than the sum of its proper divisors (2030643840).

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

920830200 is a wasteful number, since it uses less digits than its factorization.

920830200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 920830200 is about 30345.1841319179. The cubic root of 920830200 is about 972.8812901640.

Adding to 920830200 its reverse (2038029), we get a palindrome (922868229).

The spelling of 920830200 in words is "nine hundred twenty million, eight hundred thirty thousand, two hundred".