1328068560 has 640 divisors, whose sum is σ = 5549644800. Its totient is φ = 260112384.

The previous prime is 1328068537. The next prime is 1328068571. The reversal of 1328068560 is 658608231.

It is a happy number.

It is a super-2 number, since 2×1328068560² = 3527532200120947200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18192684 + ... + 18192756.

It is an arithmetic number, because the mean of its divisors is an integer number (8671320).

Almost surely, 2^1328068560 is an apocalyptic number.

1328068560 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 1328068560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774822400).

1328068560 is an abundant number, since it is smaller than the sum of its proper divisors (4221576240).

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

1328068560 is a wasteful number, since it uses less digits than its factorization.

1328068560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1328068560 is about 36442.6749841446. The cubic root of 1328068560 is about 1099.1918471795.

The spelling of 1328068560 in words is "one billion, three hundred twenty-eight million, sixty-eight thousand, five hundred sixty".