1327865940 has 48 divisors (see below), whose sum is σ = 4131140160. Its totient is φ = 354097440.

The previous prime is 1327865933. The next prime is 1327865947. The reversal of 1327865940 is 495687231.

1327865940 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1327865933) and next prime (1327865947).

It is a super-2 number, since 2×1327865940² = 3526455909224167200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

1327865940 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327865947) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1228966 + ... + 1230045.

It is an arithmetic number, because the mean of its divisors is an integer number (86065420).

It is a 1-persistent number, because it is pandigital, but 2⋅1327865940 = 2655731880 is not.

Almost surely, 2^1327865940 is an apocalyptic number.

1327865940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327865940 is an abundant number, since it is smaller than the sum of its proper divisors (2803274220).

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

1327865940 is a wasteful number, since it uses less digits than its factorization.

1327865940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459029 (or 2459021 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1327865940 is about 36439.8948955674. The cubic root of 1327865940 is about 1099.1359440466.

The spelling of 1327865940 in words is "one billion, three hundred twenty-seven million, eight hundred sixty-five thousand, nine hundred forty".