328616640 has 504 divisors, whose sum is σ = 1328037984. Its totient is φ = 74342400.

The previous prime is 328616627. The next prime is 328616641. The reversal of 328616640 is 46616823.

328616640 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 1 + 6 + 640 = 666.

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 = 328616595 and 328616604.

It is not an unprimeable number, because it can be changed into a prime (328616641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8015020 + ... + 8015060.

It is an arithmetic number, because the mean of its divisors is an integer number (2634996).

Almost surely, 2^328616640 is an apocalyptic number.

328616640 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 328616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664018992).

328616640 is an abundant number, since it is smaller than the sum of its proper divisors (999421344).

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

328616640 is a wasteful number, since it uses less digits than its factorization.

328616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 328616640 is about 18127.7864065087. The cubic root of 328616640 is about 690.0753540892.

The spelling of 328616640 in words is "three hundred twenty-eight million, six hundred sixteen thousand, six hundred forty".