1320583280 has 80 divisors (see below), whose sum is σ = 3162788640. Its totient is φ = 512418816.

The previous prime is 1320583259. The next prime is 1320583283. The reversal of 1320583280 is 823850231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320583283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1950302 + ... + 1950978.

It is an arithmetic number, because the mean of its divisors is an integer number (39534858).

Almost surely, 2^1320583280 is an apocalyptic number.

1320583280 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 1320583280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581394320).

1320583280 is an abundant number, since it is smaller than the sum of its proper divisors (1842205360).

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

1320583280 is a wasteful number, since it uses less digits than its factorization.

1320583280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1320583280 is about 36339.8304894230. The cubic root of 1320583280 is about 1097.1228613383.

The spelling of 1320583280 in words is "one billion, three hundred twenty million, five hundred eighty-three thousand, two hundred eighty".