1306665330 has 128 divisors (see below), whose sum is σ = 3309465600. Its totient is φ = 329892864.

The previous prime is 1306665319. The next prime is 1306665361. The reversal of 1306665330 is 335666031.

It is a junction number, because it is equal to n+sod(n) for n = 1306665291 and 1306665300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9400401 + ... + 9400539.

It is an arithmetic number, because the mean of its divisors is an integer number (25855200).

Almost surely, 2^1306665330 is an apocalyptic number.

1306665330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306665330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654732800).

1306665330 is an abundant number, since it is smaller than the sum of its proper divisors (2002800270).

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

1306665330 is a wasteful number, since it uses less digits than its factorization.

1306665330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368.

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 1306665330 is about 36147.8260757130. The cubic root of 1306665330 is about 1093.2549590814.

The spelling of 1306665330 in words is "one billion, three hundred six million, six hundred sixty-five thousand, three hundred thirty".