327365640 has 192 divisors, whose sum is σ = 1249148160. Its totient is φ = 72783360.

The previous prime is 327365639. The next prime is 327365641. The reversal of 327365640 is 46563723.

327365640 is a `hidden beast` number, since 3 + 2 + 7 + 3 + 6 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (327365639) and next prime (327365641).

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

It is a junction number, because it is equal to n+sod(n) for n = 327365595 and 327365604.

It is not an unprimeable number, because it can be changed into a prime (327365641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91485 + ... + 94995.

It is an arithmetic number, because the mean of its divisors is an integer number (6505980).

Almost surely, 2^327365640 is an apocalyptic number.

327365640 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 327365640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624574080).

327365640 is an abundant number, since it is smaller than the sum of its proper divisors (921782520).

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

327365640 is a wasteful number, since it uses less digits than its factorization.

327365640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 327365640 is about 18093.2484645516. The cubic root of 327365640 is about 689.1985653988.

The spelling of 327365640 in words is "three hundred twenty-seven million, three hundred sixty-five thousand, six hundred forty".