1306384640 has 288 divisors, whose sum is σ = 3659185152. Its totient is φ = 442368000.

The previous prime is 1306384627. The next prime is 1306384661. The reversal of 1306384640 is 464836031.

It is a self number, because there is not a number n which added to its sum of digits gives 1306384640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17895644 + ... + 17895716.

It is an arithmetic number, because the mean of its divisors is an integer number (12705504).

Almost surely, 2^1306384640 is an apocalyptic number.

1306384640 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 1306384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829592576).

1306384640 is an abundant number, since it is smaller than the sum of its proper divisors (2352800512).

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

1306384640 is a wasteful number, since it uses less digits than its factorization.

1306384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 1306384640 is about 36143.9433377157. The cubic root of 1306384640 is about 1093.1766713202.

The spelling of 1306384640 in words is "one billion, three hundred six million, three hundred eighty-four thousand, six hundred forty".