327199680 has 336 divisors, whose sum is σ = 1228185504. Its totient is φ = 79626240.

The previous prime is 327199667. The next prime is 327199693. The reversal of 327199680 is 86991723.

It is an interprime number because it is at equal distance from previous prime (327199667) and next prime (327199693).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2007279 + ... + 2007441.

It is an arithmetic number, because the mean of its divisors is an integer number (3655314).

Almost surely, 2^327199680 is an apocalyptic number.

327199680 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 327199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614092752).

327199680 is an abundant number, since it is smaller than the sum of its proper divisors (900985824).

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

327199680 is a wasteful number, since it uses less digits than its factorization.

327199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 327199680 is about 18088.6616420342. The cubic root of 327199680 is about 689.0820812459.

The spelling of 327199680 in words is "three hundred twenty-seven million, one hundred ninety-nine thousand, six hundred eighty".