1328074560 has 168 divisors, whose sum is σ = 4605259776. Its totient is φ = 351267840.

The previous prime is 1328074549. The next prime is 1328074567. The reversal of 1328074560 is 654708231.

1328074560 = T₄₃₆₈ + T₄₃₆₉ + ... + T₄₅₀₂.

1328074560 is a `hidden beast` number, since 1 + 3 + 28 + 0 + 74 + 560 = 666.

1328074560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328074567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363945 + ... + 367575.

Almost surely, 2^1328074560 is an apocalyptic number.

1328074560 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 1328074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302629888).

1328074560 is an abundant number, since it is smaller than the sum of its proper divisors (3277185216).

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

1328074560 is a wasteful number, since it uses less digits than its factorization.

1328074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1328074560 is about 36442.7573051217. The cubic root of 1328074560 is about 1099.1935025010.

The spelling of 1328074560 in words is "one billion, three hundred twenty-eight million, seventy-four thousand, five hundred sixty".