1320647328 has 480 divisors, whose sum is σ = 5225109120. Its totient is φ = 316016640.

The previous prime is 1320647311. The next prime is 1320647333. The reversal of 1320647328 is 8237460231.

It is a happy number.

1320647328 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 647 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1320647292 and 1320647301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2594338 + ... + 2594846.

It is an arithmetic number, because the mean of its divisors is an integer number (10885644).

Almost surely, 2^1320647328 is an apocalyptic number.

1320647328 is a gapful number since it is divisible by the number (18) 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 1320647328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612554560).

1320647328 is an abundant number, since it is smaller than the sum of its proper divisors (3904461792).

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

1320647328 is a wasteful number, since it uses less digits than its factorization.

1320647328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1320647328 is about 36340.7117156503. The cubic root of 1320647328 is about 1097.1405977911.

The spelling of 1320647328 in words is "one billion, three hundred twenty million, six hundred forty-seven thousand, three hundred twenty-eight".