1306002720 has 384 divisors, whose sum is σ = 4737761280. Its totient is φ = 299520000.

The previous prime is 1306002707. The next prime is 1306002743. The reversal of 1306002720 is 272006031.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12930670 + ... + 12930770.

It is an arithmetic number, because the mean of its divisors is an integer number (12337920).

Almost surely, 2^1306002720 is an apocalyptic number.

1306002720 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 1306002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368880640).

1306002720 is an abundant number, since it is smaller than the sum of its proper divisors (3431758560).

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

1306002720 is a wasteful number, since it uses less digits than its factorization.

1306002720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 1306002720 is about 36138.6596320339. The cubic root of 1306002720 is about 1093.0701313028.

Adding to 1306002720 its reverse (272006031), we get a palindrome (1578008751).

The spelling of 1306002720 in words is "one billion, three hundred six million, two thousand, seven hundred twenty".