1306912320 has 504 divisors, whose sum is σ = 5438631744. Its totient is φ = 298722816.

The previous prime is 1306912309. The next prime is 1306912339. The reversal of 1306912320 is 232196031.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 186701757 + ... + 186701763.

It is an arithmetic number, because the mean of its divisors is an integer number (10790936).

Almost surely, 2^1306912320 is an apocalyptic number.

1306912320 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 1306912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719315872).

1306912320 is an abundant number, since it is smaller than the sum of its proper divisors (4131719424).

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

1306912320 is an frugal number, since it uses more digits than its factorization.

1306912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1306912320 is about 36151.2423023055. The cubic root of 1306912320 is about 1093.3238382413.

The spelling of 1306912320 in words is "one billion, three hundred six million, nine hundred twelve thousand, three hundred twenty".