1320220830 has 64 divisors (see below), whose sum is σ = 3249227520. Its totient is φ = 343128576.

The previous prime is 1320220829. The next prime is 1320220849. The reversal of 1320220830 is 380220231.

It is a junction number, because it is equal to n+sod(n) for n = 1320220797 and 1320220806.

It is a congruent number.

It is an unprimeable number.

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, 849334 + ... + 850886.

It is an arithmetic number, because the mean of its divisors is an integer number (50769180).

Almost surely, 2^1320220830 is an apocalyptic number.

1320220830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320220830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624613760).

1320220830 is an abundant number, since it is smaller than the sum of its proper divisors (1929006690).

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

1320220830 is a wasteful number, since it uses less digits than its factorization.

1320220830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1320220830 is about 36334.8431949279. The cubic root of 1320220830 is about 1097.0224792892.

The spelling of 1320220830 in words is "one billion, three hundred twenty million, two hundred twenty thousand, eight hundred thirty".