327699840 has 256 divisors, whose sum is σ = 1185811200. Its totient is φ = 76308480.

The previous prime is 327699829. The next prime is 327699851. The reversal of 327699840 is 48996723.

It is an interprime number because it is at equal distance from previous prime (327699829) and next prime (327699851).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 327699840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473895 + ... + 474585.

It is an arithmetic number, because the mean of its divisors is an integer number (4632075).

Almost surely, 2^327699840 is an apocalyptic number.

327699840 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 327699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592905600).

327699840 is an abundant number, since it is smaller than the sum of its proper divisors (858111360).

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

327699840 is a wasteful number, since it uses less digits than its factorization.

327699840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 327699840 is about 18102.4815978362. The cubic root of 327699840 is about 689.4330145868.

The spelling of 327699840 in words is "three hundred twenty-seven million, six hundred ninety-nine thousand, eight hundred forty".