327096000 has 672 divisors, whose sum is σ = 1483522560. Its totient is φ = 66816000.

The previous prime is 327095987. The next prime is 327096013. The reversal of 327096000 is 690723.

It is an interprime number because it is at equal distance from previous prime (327095987) and next prime (327096013).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5543971 + ... + 5544029.

Almost surely, 2^327096000 is an apocalyptic number.

327096000 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 327096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741761280).

327096000 is an abundant number, since it is smaller than the sum of its proper divisors (1156426560).

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

327096000 is a wasteful number, since it uses less digits than its factorization.

327096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 327096000 is about 18085.7955313002. The cubic root of 327096000 is about 689.0092902439.

The spelling of 327096000 in words is "three hundred twenty-seven million, ninety-six thousand".