1207968580 has 144 divisors (see below), whose sum is σ = 3239656560. Its totient is φ = 374879232.

The previous prime is 1207968577. The next prime is 1207968611. The reversal of 1207968580 is 858697021.

It can be written as a sum of positive squares in 8 ways, for example, as 17994564 + 1189974016 = 4242^2 + 34496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1207968580.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674326 + ... + 676114.

It is an arithmetic number, because the mean of its divisors is an integer number (22497615).

Almost surely, 2^1207968580 is an apocalyptic number.

1207968580 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 1207968580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619828280).

1207968580 is an abundant number, since it is smaller than the sum of its proper divisors (2031687980).

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

1207968580 is a wasteful number, since it uses less digits than its factorization.

1207968580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The square root of 1207968580 is about 34755.8423865686. The cubic root of 1207968580 is about 1065.0055705881.

The spelling of 1207968580 in words is "one billion, two hundred seven million, nine hundred sixty-eight thousand, five hundred eighty".