1327655742 has 64 divisors (see below), whose sum is σ = 3215009280. Its totient is φ = 357042816.

The previous prime is 1327655717. The next prime is 1327655743. The reversal of 1327655742 is 2475567231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1327655694 and 1327655703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327655743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119988 + ... + 130584.

It is an arithmetic number, because the mean of its divisors is an integer number (50234520).

Almost surely, 2^1327655742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327655742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607504640).

1327655742 is an abundant number, since it is smaller than the sum of its proper divisors (1887353538).

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

1327655742 is a wasteful number, since it uses less digits than its factorization.

1327655742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785.

The product of its digits is 352800, while the sum is 42.

The square root of 1327655742 is about 36437.0106073481. The cubic root of 1327655742 is about 1099.0779441231.

The spelling of 1327655742 in words is "one billion, three hundred twenty-seven million, six hundred fifty-five thousand, seven hundred forty-two".