1023200320 has 28 divisors (see below), whose sum is σ = 2436496524. Its totient is φ = 409280000.

The previous prime is 1023200317. The next prime is 1023200327. The reversal of 1023200320 is 230023201.

It is a happy number.

1023200320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 474891264 + 548309056 = 21792^2 + 23416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1023200320.

It is not an unprimeable number, because it can be changed into a prime (1023200327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1598431 + ... + 1599070.

It is an arithmetic number, because the mean of its divisors is an integer number (87017733).

Almost surely, 2^1023200320 is an apocalyptic number.

1023200320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023200320 is an abundant number, since it is smaller than the sum of its proper divisors (1413296204).

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

1023200320 is an equidigital number, since it uses as much as digits as its factorization.

1023200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197518 (or 3197508 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1023200320 is about 31987.5025595935. The cubic root of 1023200320 is about 1007.6743930272.

Adding to 1023200320 its reverse (230023201), we get a palindrome (1253223521).

The spelling of 1023200320 in words is "one billion, twenty-three million, two hundred thousand, three hundred twenty".