327819648 has 128 divisors (see below), whose sum is σ = 948820320. Its totient is φ = 99680256.

The previous prime is 327819647. The next prime is 327819671. The reversal of 327819648 is 846918723.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×327819648² = 214931443229687808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 327819597 and 327819606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327819647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483886 + ... + 484562.

Almost surely, 2^327819648 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 327819648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474410160).

327819648 is an abundant number, since it is smaller than the sum of its proper divisors (621000672).

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

327819648 is a wasteful number, since it uses less digits than its factorization.

327819648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 792 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 327819648 is about 18105.7904549898. The cubic root of 327819648 is about 689.5170239111.

The spelling of 327819648 in words is "three hundred twenty-seven million, eight hundred nineteen thousand, six hundred forty-eight".