327638580 has 96 divisors (see below), whose sum is σ = 941238144. Its totient is φ = 85123584.

The previous prime is 327638579. The next prime is 327638581. The reversal of 327638580 is 85836723.

It is an interprime number because it is at equal distance from previous prime (327638579) and next prime (327638581).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327638581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626199 + ... + 626721.

It is an arithmetic number, because the mean of its divisors is an integer number (9804564).

Almost surely, 2^327638580 is an apocalyptic number.

327638580 is a gapful number since it is divisible by the number (30) 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 327638580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470619072).

327638580 is an abundant number, since it is smaller than the sum of its proper divisors (613599564).

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

327638580 is a wasteful number, since it uses less digits than its factorization.

327638580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 327638580 is about 18100.7894855445. The cubic root of 327638580 is about 689.3900511862.

The spelling of 327638580 in words is "three hundred twenty-seven million, six hundred thirty-eight thousand, five hundred eighty".