327904560 has 120 divisors (see below), whose sum is σ = 1149149664. Its totient is φ = 83635200.

The previous prime is 327904553. The next prime is 327904573. The reversal of 327904560 is 65409723.

327904560 is a `hidden beast` number, since 3 + 2 + 7 + 90 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6660 + ... + 26460.

Almost surely, 2^327904560 is an apocalyptic number.

327904560 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 327904560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574574832).

327904560 is an abundant number, since it is smaller than the sum of its proper divisors (821245104).

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

327904560 is a wasteful number, since it uses less digits than its factorization.

327904560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19843 (or 19834 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 327904560 is about 18108.1351883622. The cubic root of 327904560 is about 689.5765517801.

The spelling of 327904560 in words is "three hundred twenty-seven million, nine hundred four thousand, five hundred sixty".