320336640 has 576 divisors, whose sum is σ = 1318625280. Its totient is φ = 72990720.

The previous prime is 320336633. The next prime is 320336647. The reversal of 320336640 is 46633023.

320336640 is a `hidden beast` number, since 320 + 336 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (320336633) and next prime (320336647).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (320336647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10333425 + ... + 10333455.

It is an arithmetic number, because the mean of its divisors is an integer number (2289280).

Almost surely, 2^320336640 is an apocalyptic number.

320336640 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 320336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659312640).

320336640 is an abundant number, since it is smaller than the sum of its proper divisors (998288640).

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

320336640 is a wasteful number, since it uses less digits than its factorization.

320336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 320336640 is about 17897.9507206831. The cubic root of 320336640 is about 684.2301472376.

Adding to 320336640 its reverse (46633023), we get a palindrome (366969663).

The spelling of 320336640 in words is "three hundred twenty million, three hundred thirty-six thousand, six hundred forty".