1327768104 has 192 divisors, whose sum is σ = 3849500160. Its totient is φ = 380540160.

The previous prime is 1327768093. The next prime is 1327768133. The reversal of 1327768104 is 4018677231.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4011219 + ... + 4011549.

It is an arithmetic number, because the mean of its divisors is an integer number (20049480).

Almost surely, 2^1327768104 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 1327768104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924750080).

1327768104 is an abundant number, since it is smaller than the sum of its proper divisors (2521732056).

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

1327768104 is a wasteful number, since it uses less digits than its factorization.

1327768104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 1327768104 is about 36438.5524410617. The cubic root of 1327768104 is about 1099.1089489256.

The spelling of 1327768104 in words is "one billion, three hundred twenty-seven million, seven hundred sixty-eight thousand, one hundred four".