320120640 has 448 divisors, whose sum is σ = 1326489600. Its totient is φ = 71165952.

The previous prime is 320120617. The next prime is 320120651. The reversal of 320120640 is 46021023.

It is a happy number.

320120640 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 20 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4052121 + ... + 4052199.

Almost surely, 2^320120640 is an apocalyptic number.

320120640 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 320120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663244800).

320120640 is an abundant number, since it is smaller than the sum of its proper divisors (1006368960).

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

320120640 is a wasteful number, since it uses less digits than its factorization.

320120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 320120640 is about 17891.9154927582. The cubic root of 320120640 is about 684.0763226622.

Adding to 320120640 its reverse (46021023), we get a palindrome (366141663).

The spelling of 320120640 in words is "three hundred twenty million, one hundred twenty thousand, six hundred forty".