327906432 has 288 divisors, whose sum is σ = 1134485820. Its totient is φ = 90574848.

The previous prime is 327906431. The next prime is 327906443. The reversal of 327906432 is 234609723.

It is a happy number.

327906432 is a `hidden beast` number, since 3 + 2 + 7 + 9 + 0 + 643 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 323136576 + 4769856 = 17976^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (327906431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2088498 + ... + 2088654.

Almost surely, 2^327906432 is an apocalyptic number.

327906432 is a gapful number since it is divisible by the number (32) 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 327906432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567242910).

327906432 is an abundant number, since it is smaller than the sum of its proper divisors (806579388).

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

327906432 is a wasteful number, since it uses less digits than its factorization.

327906432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 327906432 is about 18108.1868777633. The cubic root of 327906432 is about 689.5778640368.

The spelling of 327906432 in words is "three hundred twenty-seven million, nine hundred six thousand, four hundred thirty-two".