1300864320 has 448 divisors, whose sum is σ = 5316687360. Its totient is φ = 293289984.

The previous prime is 1300864303. The next prime is 1300864373. The reversal of 1300864320 is 234680031.

It is a happy number.

1300864320 is a `hidden beast` number, since 13 + 0 + 0 + 8 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8285682 + ... + 8285838.

Almost surely, 2^1300864320 is an apocalyptic number.

1300864320 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 1300864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658343680).

1300864320 is an abundant number, since it is smaller than the sum of its proper divisors (4015823040).

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

1300864320 is a wasteful number, since it uses less digits than its factorization.

1300864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1300864320 is about 36067.4967248907. The cubic root of 1300864320 is about 1091.6347045269.

The spelling of 1300864320 in words is "one billion, three hundred million, eight hundred sixty-four thousand, three hundred twenty".