320485536 has 144 divisors (see below), whose sum is σ = 1066089024. Its totient is φ = 89413632.

The previous prime is 320485511. The next prime is 320485537. The reversal of 320485536 is 635584023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 320485536.

It is not an unprimeable number, because it can be changed into a prime (320485537) 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 23 ways as a sum of consecutive naturals, for example, 84840 + ... + 88536.

It is an arithmetic number, because the mean of its divisors is an integer number (7403396).

Almost surely, 2^320485536 is an apocalyptic number.

320485536 is a gapful number since it is divisible by the number (36) 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 320485536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533044512).

320485536 is an abundant number, since it is smaller than the sum of its proper divisors (745603488).

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

320485536 is a wasteful number, since it uses less digits than its factorization.

320485536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 320485536 is about 17902.1098197950. The cubic root of 320485536 is about 684.3361433872.

The spelling of 320485536 in words is "three hundred twenty million, four hundred eighty-five thousand, five hundred thirty-six".