1328866560 has 360 divisors, whose sum is σ = 5437170816. Its totient is φ = 303575040.

The previous prime is 1328866547. The next prime is 1328866573. The reversal of 1328866560 is 656688231.

1328866560 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 86 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1328866547) and next prime (1328866573).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 9.

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 39 ways as a sum of consecutive naturals, for example, 724845 + ... + 726675.

Almost surely, 2^1328866560 is an apocalyptic number.

1328866560 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 1328866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718585408).

1328866560 is an abundant number, since it is smaller than the sum of its proper divisors (4108304256).

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

1328866560 is an equidigital number, since it uses as much as digits as its factorization.

1328866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1328866560 is about 36453.6220422608. The cubic root of 1328866560 is about 1099.4119611839.

The spelling of 1328866560 in words is "one billion, three hundred twenty-eight million, eight hundred sixty-six thousand, five hundred sixty".