1327046920 has 32 divisors (see below), whose sum is σ = 2990781720. Its totient is φ = 529943040.

The previous prime is 1327046881. The next prime is 1327046933. The reversal of 1327046920 is 296407231.

It can be written as a sum of positive squares in 4 ways, for example, as 158911236 + 1168135684 = 12606^2 + 34178^2 .

It is a super-2 number, since 2×1327046920² = 3522107055762972800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 2541 + ... + 51580.

Almost surely, 2^1327046920 is an apocalyptic number.

1327046920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327046920 is an abundant number, since it is smaller than the sum of its proper divisors (1663734800).

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

1327046920 is a wasteful number, since it uses less digits than its factorization.

1327046920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54745 (or 54741 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 1327046920 is about 36428.6552043855. The cubic root of 1327046920 is about 1098.9099173473.

The spelling of 1327046920 in words is "one billion, three hundred twenty-seven million, forty-six thousand, nine hundred twenty".