920200320 has 192 divisors, whose sum is σ = 3422273400. Its totient is φ = 226492416.

The previous prime is 920200319. The next prime is 920200423. The reversal of 920200320 is 23002029.

It can be written as a sum of positive squares in 4 ways, for example, as 713530944 + 206669376 = 26712^2 + 14376^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 920200293 and 920200302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68736 + ... + 81024.

Almost surely, 2^920200320 is an apocalyptic number.

920200320 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 920200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711136700).

920200320 is an abundant number, since it is smaller than the sum of its proper divisors (2502073080).

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

920200320 is a wasteful number, since it uses less digits than its factorization.

920200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12327 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 920200320 is about 30334.8037738832. The cubic root of 920200320 is about 972.6594113112.

Adding to 920200320 its reverse (23002029), we get a palindrome (943202349).

The spelling of 920200320 in words is "nine hundred twenty million, two hundred thousand, three hundred twenty".