1327656960 has 520 divisors, whose sum is σ = 5506317840. Its totient is φ = 303464448.

The previous prime is 1327656959. The next prime is 1327657013. The reversal of 1327656960 is 696567231.

1327656960 is a `hidden beast` number, since 1 + 3 + 27 + 6 + 569 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 189665277 + ... + 189665283.

Almost surely, 2^1327656960 is an apocalyptic number.

1327656960 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 1327656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753158920).

1327656960 is an abundant number, since it is smaller than the sum of its proper divisors (4178660880).

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

1327656960 is an frugal number, since it uses more digits than its factorization.

1327656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 1327656960 is about 36437.0273211194. The cubic root of 1327656960 is about 1099.0782802234.

The spelling of 1327656960 in words is "one billion, three hundred twenty-seven million, six hundred fifty-six thousand, nine hundred sixty".