1306488960 has 384 divisors, whose sum is σ = 5386089600. Its totient is φ = 298432512.

The previous prime is 1306488943. The next prime is 1306488991. The reversal of 1306488960 is 698846031.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 845949 + ... + 847491.

It is an arithmetic number, because the mean of its divisors is an integer number (14026275).

Almost surely, 2^1306488960 is an apocalyptic number.

1306488960 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 1306488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693044800).

1306488960 is an abundant number, since it is smaller than the sum of its proper divisors (4079600640).

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

1306488960 is a wasteful number, since it uses less digits than its factorization.

1306488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1306488960 is about 36145.3864275927. The cubic root of 1306488960 is about 1093.2057687114.

The spelling of 1306488960 in words is "one billion, three hundred six million, four hundred eighty-eight thousand, nine hundred sixty".