1327813840 has 40 divisors (see below), whose sum is σ = 3137788008. Its totient is φ = 522416640.

The previous prime is 1327813789. The next prime is 1327813889. The reversal of 1327813840 is 483187231.

It can be written as a sum of positive squares in 4 ways, for example, as 28643904 + 1299169936 = 5352^2 + 36044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1327813840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131167 + ... + 140926.

Almost surely, 2^1327813840 is an apocalyptic number.

1327813840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327813840 is an abundant number, since it is smaller than the sum of its proper divisors (1809974168).

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

1327813840 is a wasteful number, since it uses less digits than its factorization.

1327813840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272167 (or 272161 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 1327813840 is about 36439.1800127281. The cubic root of 1327813840 is about 1099.1215686668.

The spelling of 1327813840 in words is "one billion, three hundred twenty-seven million, eight hundred thirteen thousand, eight hundred forty".