1305210660 has 144 divisors (see below), whose sum is σ = 4001147136. Its totient is φ = 317730816.

The previous prime is 1305210659. The next prime is 1305210671. The reversal of 1305210660 is 660125031.

It is a self number, because there is not a number n which added to its sum of digits gives 1305210660.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982917 + ... + 984243.

It is an arithmetic number, because the mean of its divisors is an integer number (27785744).

Almost surely, 2^1305210660 is an apocalyptic number.

1305210660 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 1305210660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000573568).

1305210660 is an abundant number, since it is smaller than the sum of its proper divisors (2695936476).

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

1305210660 is a wasteful number, since it uses less digits than its factorization.

1305210660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1305210660 is about 36127.6993455160. The cubic root of 1305210660 is about 1092.8491128219.

Adding to 1305210660 its reverse (660125031), we get a palindrome (1965335691).

The spelling of 1305210660 in words is "one billion, three hundred five million, two hundred ten thousand, six hundred sixty".