1305600000 has 336 divisors, whose sum is σ = 4607423856. Its totient is φ = 327680000.

The previous prime is 1305599987. The next prime is 1305600001. The reversal of 1305600000 is 65031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305600001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76799992 + ... + 76800008.

It is an arithmetic number, because the mean of its divisors is an integer number (13712571).

Almost surely, 2^1305600000 is an apocalyptic number.

1305600000 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 1305600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303711928).

1305600000 is an abundant number, since it is smaller than the sum of its proper divisors (3301823856).

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

1305600000 is an frugal number, since it uses more digits than its factorization.

1305600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1305600000 is about 36133.0873300359. The cubic root of 1305600000 is about 1092.9577664378.

Adding to 1305600000 its reverse (65031), we get a palindrome (1305665031).

The spelling of 1305600000 in words is "one billion, three hundred five million, six hundred thousand".