1327767552 has 336 divisors, whose sum is σ = 4293656640. Its totient is φ = 408748032.

The previous prime is 1327767547. The next prime is 1327767559. The reversal of 1327767552 is 2557677231.

1327767552 is a `hidden beast` number, since 1 + 3 + 27 + 76 + 7 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1327767498 and 1327767507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327767559) 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, 45785074 + ... + 45785102.

It is an arithmetic number, because the mean of its divisors is an integer number (12778740).

Almost surely, 2^1327767552 is an apocalyptic number.

1327767552 is a gapful number since it is divisible by the number (12) 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 1327767552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146828320).

1327767552 is an abundant number, since it is smaller than the sum of its proper divisors (2965889088).

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

1327767552 is an frugal number, since it uses more digits than its factorization.

1327767552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 1327767552 is about 36438.5448666656. The cubic root of 1327767552 is about 1099.1087966128.

The spelling of 1327767552 in words is "one billion, three hundred twenty-seven million, seven hundred sixty-seven thousand, five hundred fifty-two".