1327905040 has 160 divisors (see below), whose sum is σ = 3903250176. Its totient is φ = 408084480.

The previous prime is 1327905017. The next prime is 1327905077. The reversal of 1327905040 is 405097231.

It is a junction number, because it is equal to n+sod(n) for n = 1327904993 and 1327905011.

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 31 ways as a sum of consecutive naturals, for example, 448204 + ... + 451156.

Almost surely, 2^1327905040 is an apocalyptic number.

1327905040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327905040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951625088).

1327905040 is an abundant number, since it is smaller than the sum of its proper divisors (2575345136).

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

1327905040 is a wasteful number, since it uses less digits than its factorization.

1327905040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 1327905040 is about 36440.4313915190. The cubic root of 1327905040 is about 1099.1467322325.

The spelling of 1327905040 in words is "one billion, three hundred twenty-seven million, nine hundred five thousand, forty".