1327658752 has 72 divisors (see below), whose sum is σ = 3046377600. Its totient is φ = 565681152.

The previous prime is 1327658747. The next prime is 1327658767. The reversal of 1327658752 is 2578567231.

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 7 ways as a sum of consecutive naturals, for example, 318699 + ... + 322837.

It is an arithmetic number, because the mean of its divisors is an integer number (42310800).

Almost surely, 2^1327658752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327658752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523188800).

1327658752 is an abundant number, since it is smaller than the sum of its proper divisors (1718718848).

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

1327658752 is an equidigital number, since it uses as much as digits as its factorization.

1327658752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341 (or 4327 counting only the distinct ones).

The product of its digits is 705600, while the sum is 46.

The square root of 1327658752 is about 36437.0519114815. The cubic root of 1327658752 is about 1099.0787747154.

The spelling of 1327658752 in words is "one billion, three hundred twenty-seven million, six hundred fifty-eight thousand, seven hundred fifty-two".