320041600 has 96 divisors (see below), whose sum is σ = 799100640. Its totient is φ = 126643200.

The previous prime is 320041543. The next prime is 320041607. The reversal of 320041600 is 6140023.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (320041607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 329115 + ... + 330085.

It is an arithmetic number, because the mean of its divisors is an integer number (8323965).

Almost surely, 2^320041600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399550320).

320041600 is an abundant number, since it is smaller than the sum of its proper divisors (479059040).

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

320041600 is a wasteful number, since it uses less digits than its factorization.

320041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 320041600 is about 17889.7065375595. The cubic root of 320041600 is about 684.0200169695.

Adding to 320041600 its reverse (6140023), we get a palindrome (326181623).

The spelling of 320041600 in words is "three hundred twenty million, forty-one thousand, six hundred".