320582020 has 48 divisors (see below), whose sum is σ = 736138368. Its totient is φ = 116303360.

The previous prime is 320582011. The next prime is 320582029. The reversal of 320582020 is 20285023.

It is an interprime number because it is at equal distance from previous prime (320582011) and next prime (320582029).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 320581982 and 320582000.

It is not an unprimeable number, because it can be changed into a prime (320582029) 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 15 ways as a sum of consecutive naturals, for example, 109212 + ... + 112108.

It is an arithmetic number, because the mean of its divisors is an integer number (15336216).

Almost surely, 2^320582020 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 320582020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368069184).

320582020 is an abundant number, since it is smaller than the sum of its proper divisors (415556348).

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

320582020 is a wasteful number, since it uses less digits than its factorization.

320582020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 320582020 is about 17904.8043831816. The cubic root of 320582020 is about 684.4048109308.

The spelling of 320582020 in words is "three hundred twenty million, five hundred eighty-two thousand, twenty".