1327417344 has 144 divisors (see below), whose sum is σ = 4182993360. Its totient is φ = 402186240.

The previous prime is 1327417321. The next prime is 1327417363. The reversal of 1327417344 is 4437147231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1327417299 and 1327417308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199479 + ... + 206025.

It is an arithmetic number, because the mean of its divisors is an integer number (29048565).

Almost surely, 2^1327417344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091496680).

1327417344 is an abundant number, since it is smaller than the sum of its proper divisors (2855576016).

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

1327417344 is a wasteful number, since it uses less digits than its factorization.

1327417344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6586 (or 6563 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 1327417344 is about 36433.7390889269. The cubic root of 1327417344 is about 1099.0121555656.

The spelling of 1327417344 in words is "one billion, three hundred twenty-seven million, four hundred seventeen thousand, three hundred forty-four".