1032303220 has 96 divisors (see below), whose sum is σ = 2389853088. Its totient is φ = 372252672.

The previous prime is 1032303179. The next prime is 1032303221. The reversal of 1032303220 is 223032301.

It can be written as a sum of positive squares in 16 ways, for example, as 232318564 + 799984656 = 15242^2 + 28284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1032303194 and 1032303203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032303221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2600062 + ... + 2600458.

It is an arithmetic number, because the mean of its divisors is an integer number (24894303).

Almost surely, 2^1032303220 is an apocalyptic number.

1032303220 is a gapful number since it is divisible by the number (10) 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 1032303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194926544).

1032303220 is an abundant number, since it is smaller than the sum of its proper divisors (1357549868).

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

1032303220 is a wasteful number, since it uses less digits than its factorization.

1032303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1032303220 is about 32129.4758749657. The cubic root of 1032303220 is about 1010.6538327627.

Adding to 1032303220 its reverse (223032301), we get a palindrome (1255335521).

The spelling of 1032303220 in words is "one billion, thirty-two million, three hundred three thousand, two hundred twenty".