327006900 has 432 divisors, whose sum is σ = 1243045440. Its totient is φ = 70963200.

The previous prime is 327006899. The next prime is 327006919. The reversal of 327006900 is 9600723.

It is a super-2 number, since 2×327006900² = 213867025295220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4880667 + ... + 4880733.

It is an arithmetic number, because the mean of its divisors is an integer number (2877420).

Almost surely, 2^327006900 is an apocalyptic number.

327006900 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 327006900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621522720).

327006900 is an abundant number, since it is smaller than the sum of its proper divisors (916038540).

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

327006900 is a wasteful number, since it uses less digits than its factorization.

327006900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

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

The square root of 327006900 is about 18083.3321044546. The cubic root of 327006900 is about 688.9467231863.

The spelling of 327006900 in words is "three hundred twenty-seven million, six thousand, nine hundred".