327613440 has 352 divisors, whose sum is σ = 1311128064. Its totient is φ = 67829760.

The previous prime is 327613427. The next prime is 327613441. The reversal of 327613440 is 44316723.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 327613398 and 327613407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327613441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182582 + ... + 1182858.

Almost surely, 2^327613440 is an apocalyptic number.

327613440 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 327613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655564032).

327613440 is an abundant number, since it is smaller than the sum of its proper divisors (983514624).

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

327613440 is a wasteful number, since it uses less digits than its factorization.

327613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 327613440 is about 18100.0950273749. The cubic root of 327613440 is about 689.3724182310.

The spelling of 327613440 in words is "three hundred twenty-seven million, six hundred thirteen thousand, four hundred forty".