1208920320 has 216 divisors, whose sum is σ = 4429499256. Its totient is φ = 303366144.

The previous prime is 1208920309. The next prime is 1208920381. The reversal of 1208920320 is 230298021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17842176 + 1191078144 = 4224^2 + 34512^2 .

It is a super-2 number, since 2×1208920320² = 2922976680217804800, which contains 22 as substring.

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, 192754 + ... + 198926.

It is an arithmetic number, because the mean of its divisors is an integer number (20506941).

Almost surely, 2^1208920320 is an apocalyptic number.

1208920320 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 1208920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214749628).

1208920320 is an abundant number, since it is smaller than the sum of its proper divisors (3220578936).

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

1208920320 is a wasteful number, since it uses less digits than its factorization.

1208920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1208920320 is about 34769.5314895096. The cubic root of 1208920320 is about 1065.2851977056.

The spelling of 1208920320 in words is "one billion, two hundred eight million, nine hundred twenty thousand, three hundred twenty".