320135520 has 96 divisors (see below), whose sum is σ = 1010953440. Its totient is φ = 85155840.

The previous prime is 320135477. The next prime is 320135527. The reversal of 320135520 is 25531023.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320135527) 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 15 ways as a sum of consecutive naturals, for example, 316776 + ... + 317784.

It is an arithmetic number, because the mean of its divisors is an integer number (10530765).

Almost surely, 2^320135520 is an apocalyptic number.

320135520 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 320135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505476720).

320135520 is an abundant number, since it is smaller than the sum of its proper divisors (690817920).

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

320135520 is a wasteful number, since it uses less digits than its factorization.

320135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 320135520 is about 17892.3313181933. The cubic root of 320135520 is about 684.0869216851.

Adding to 320135520 its reverse (25531023), we get a palindrome (345666543).

The spelling of 320135520 in words is "three hundred twenty million, one hundred thirty-five thousand, five hundred twenty".