1327371264 has 132 divisors (see below), whose sum is σ = 3887228436. Its totient is φ = 436174848.

The previous prime is 1327371259. The next prime is 1327371281. The reversal of 1327371264 is 4621737231.

1327371264 is a `hidden beast` number, since 1 + 3 + 27 + 371 + 264 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 508953600 + 818417664 = 22560^2 + 28608^2 .

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 671782 + ... + 673754.

Almost surely, 2^1327371264 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 1327371264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943614218).

1327371264 is an abundant number, since it is smaller than the sum of its proper divisors (2559857172).

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

1327371264 is a wasteful number, since it uses less digits than its factorization.

1327371264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2051 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 1327371264 is about 36433.1067025583. The cubic root of 1327371264 is about 1098.9994383730. Note that the first 3 decimals are identical.

It can be divided in two parts, 1327371 and 264, that added together give a triangular number (1327635 = T₁₆₂₉).

The spelling of 1327371264 in words is "one billion, three hundred twenty-seven million, three hundred seventy-one thousand, two hundred sixty-four".